Atkin-Lehner |
3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58719c |
Isogeny class |
Conductor |
58719 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-275515070345793 = -1 · 37 · 237 · 37 |
Discriminant |
Eigenvalues |
1 3+ -4 -1 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91792,-10772315] |
[a1,a2,a3,a4,a6] |
Generators |
[11460:134455:27] |
Generators of the group modulo torsion |
j |
-577801395289/1861137 |
j-invariant |
L |
2.5638243330632 |
L(r)(E,1)/r! |
Ω |
0.13711468552702 |
Real period |
R |
4.6745983533388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2553a1 |
Quadratic twists by: -23 |