Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600cf |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
15264000000000 = 214 · 32 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21208,1180912] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:750:1] |
Generators of the group modulo torsion |
j |
131872229/1908 |
j-invariant |
L |
5.1835004108346 |
L(r)(E,1)/r! |
Ω |
0.70157293848933 |
Real period |
R |
1.8470996121827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950y1 63600dr1 |
Quadratic twists by: -4 5 |