Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950cx |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
696844288000000000 = 225 · 59 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -3 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1154355,475968147] |
[a1,a2,a3,a4,a6] |
Generators |
[779:6610:1] [-1125:19266:1] |
Generators of the group modulo torsion |
j |
31741495052096367/130023424000 |
j-invariant |
L |
9.7461264473756 |
L(r)(E,1)/r! |
Ω |
0.28757186864775 |
Real period |
R |
0.1694554911297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190s1 75950cj1 |
Quadratic twists by: 5 -7 |