Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800hs |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-1.59385218048E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17650208,-28611686412] |
[a1,a2,a3,a4,a6] |
Generators |
[152602:59590272:1] |
Generators of the group modulo torsion |
j |
-2637114025/6912 |
j-invariant |
L |
7.7572460925817 |
L(r)(E,1)/r! |
Ω |
0.036822554589855 |
Real period |
R |
5.851822626899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350bo1 58800gn1 58800fi1 |
Quadratic twists by: -4 5 -7 |