Atkin-Lehner |
7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5957b |
Isogeny class |
Conductor |
5957 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-137011 = -1 · 7 · 232 · 37 |
Discriminant |
Eigenvalues |
0 -2 -3 7- -3 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] |
Generators of the group modulo torsion |
j |
224755712/137011 |
j-invariant |
L |
1.2194997813503 |
L(r)(E,1)/r! |
Ω |
1.8996848759152 |
Real period |
R |
0.32097423020298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95312h1 53613d1 41699e1 |
Quadratic twists by: -4 -3 -7 |