Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600r |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
1.14402475845E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12505208,-17009028588] |
[a1,a2,a3,a4,a6] |
j |
153125000/81 |
j-invariant |
L |
1.2845782622355 |
L(r)(E,1)/r! |
Ω |
0.080286145923351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600cx1 117600hr1 117600cf1 |
Quadratic twists by: -4 5 -7 |