Atkin-Lehner |
2+ 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590s |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
9768735885600000 = 28 · 315 · 55 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-427365,-107322219] |
[a1,a2,a3,a4,a6] |
j |
11841142586841545041/13400186400000 |
j-invariant |
L |
1.4938922454751 |
L(r)(E,1)/r! |
Ω |
0.18673652759659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bl1 |
Quadratic twists by: -3 |