Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ia |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3477551616000 = 212 · 36 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16248,786708] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-264:1] |
Generators of the group modulo torsion |
j |
926574216749/6792093 |
j-invariant |
L |
7.4263775564092 |
L(r)(E,1)/r! |
Ω |
0.7957080851986 |
Real period |
R |
0.25925118703248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775m1 92400fs1 |
Quadratic twists by: -4 5 |