Cremona's table of elliptic curves

29120 = 2⁶ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	29120cm	Isogeny class
Conductor	29120	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	199680	Modular degree for the optimal curve
Δ	-5322856448000000 = -1 · 217 · 56 · 7 · 135	Discriminant
Eigenvalues	2- -1 5- 7-  5 13- -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-93665,-11547263]	[a1,a2,a3,a4,a6]
Generators	[429:5200:1]	Generators of the group modulo torsion
j	-693346671296498/40610171875	j-invariant
L	4.9750865441819	L(r)(E,1)/r!
Ω	0.13598851616479	Real period
R	0.30487173258518	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	29120t1 7280c1	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 29120cm1

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
-	-1	-	-	5	-	-2	-6	-9	-6	5	-1	3	6	7	12	-12	-1	-9	-8	5	3	-2	14	-13

---

Quadratic twists for elliptic curve 29120cm1

-4	8
29120t1	7280c1

---

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