Cremona's table of elliptic curves

12350 = 2 · 5² · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 13- 19-	Signs for the Atkin-Lehner involutions
Class	12350ba	Isogeny class
Conductor	12350	Conductor
∏ cp	616	Product of Tamagawa factors cp
deg	1389696	Modular degree for the optimal curve
Δ	-2.1436693175224E+22	Discriminant
Eigenvalues	2-  2 5- -3  5 13- -5 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3278988,7404369581]	[a1,a2,a3,a4,a6]
Generators	[-531:95113:1]	Generators of the group modulo torsion
j	-6238255884831248959825/34298709080358780928	j-invariant
L	9.2046222507916	L(r)(E,1)/r!
Ω	0.10464772077712	Real period
R	0.14278924068278	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	98800cy1 111150ct1 12350e1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 12350ba1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	2	-	-3	5	-	-5	-	-6	-3	-7	-10	0	-2	-9	-5	11	-1	9	0	2	12	-7	10	-8

---

Quadratic twists for elliptic curve 12350ba1

-4	-3	5
98800cy1	111150ct1	12350e1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations