Atkin-Lehner |
2- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950bh |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-7243750000 = -1 · 24 · 58 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,437,2281] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:2363:64] |
Generators of the group modulo torsion |
j |
590589719/463600 |
j-invariant |
L |
14.661813497597 |
L(r)(E,1)/r! |
Ω |
0.851091548933 |
Real period |
R |
4.3067674434961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590e1 |
Quadratic twists by: 5 |