Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600eh |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
4392300000000000 = 211 · 3 · 511 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49408,2758688] |
[a1,a2,a3,a4,a6] |
j |
28471058/9375 |
j-invariant |
L |
2.4152356039066 |
L(r)(E,1)/r! |
Ω |
0.40253926508014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520g1 72600bv1 |
Quadratic twists by: 5 -11 |