Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
1297080225000000 = 26 · 32 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86158,-9607312] |
[a1,a2,a3,a4,a6] |
Generators |
[754963:14841450:1331] |
Generators of the group modulo torsion |
j |
601211584/11025 |
j-invariant |
L |
10.309534330731 |
L(r)(E,1)/r! |
Ω |
0.27897078386746 |
Real period |
R |
9.2389014510063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010947 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600bb1 23520bg1 16800j1 |
Quadratic twists by: -4 5 -7 |