Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640cj |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
69242880000000 = 218 · 3 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1796576,-927464076] |
[a1,a2,a3,a4,a6] |
Generators |
[59104953299292894:-4989210260284251456:8003600540027] |
Generators of the group modulo torsion |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
6.8821928631159 |
L(r)(E,1)/r! |
Ω |
0.13040316700396 |
Real period |
R |
26.3881354312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830u1 115920ek1 |
Quadratic twists by: -4 -3 |