Atkin-Lehner |
2+ 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590n |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548800 |
Modular degree for the optimal curve |
Δ |
81324726247620 = 22 · 317 · 5 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3819510,-2872203840] |
[a1,a2,a3,a4,a6] |
Generators |
[474158184:28181568732:103823] |
Generators of the group modulo torsion |
j |
8453162193282558315361/111556551780 |
j-invariant |
L |
5.1324061067728 |
L(r)(E,1)/r! |
Ω |
0.10799350503141 |
Real period |
R |
11.881284216256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530bn1 |
Quadratic twists by: -3 |