Atkin-Lehner |
2- 3- 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818bg |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-290421609408 = -1 · 26 · 36 · 7 · 232 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1654,-1655] |
[a1,a2,a3,a4,a6] |
Generators |
[5:79:1] |
Generators of the group modulo torsion |
j |
686829337767/398383552 |
j-invariant |
L |
6.7454258228375 |
L(r)(E,1)/r! |
Ω |
0.5776719882798 |
Real period |
R |
0.97307611703192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13202a1 |
Quadratic twists by: -3 |