Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hh |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
4.1699702445502E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24311758,-46137119512] |
[a1,a2,a3,a4,a6] |
j |
13507798771700416/3544416225 |
j-invariant |
L |
1.3598217603251 |
L(r)(E,1)/r! |
Ω |
0.067991136519514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600fe1 23520k1 16800bf1 |
Quadratic twists by: -4 5 -7 |