Cremona's table of elliptic curves

30096 = 2⁴ · 3² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 19-	Signs for the Atkin-Lehner involutions
Class	30096bk	Isogeny class
Conductor	30096	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	15255704243552256 = 214 · 310 · 112 · 194	Discriminant
Eigenvalues	2- 3-  2  0 11- -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-381459,-90486830]	[a1,a2,a3,a4,a6]
Generators	[-345:230:1]	Generators of the group modulo torsion
j	2055795133410577/5109104484	j-invariant
L	6.8197089679832	L(r)(E,1)/r!
Ω	0.19213321474544	Real period
R	4.4368362967712	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3762d3 120384co4 10032o3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 30096bk4

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	0	-	-2	6	-	0	2	0	-2	6	-4	-8	-6	-12	-2	4	-16	10	0	-12	-10	2

---

Quadratic twists for elliptic curve 30096bk4

-4	8	-3
3762d3	120384co4	10032o3

---

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