Atkin-Lehner |
2+ 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bc |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
1837440 |
Modular degree for the optimal curve |
Δ |
417263248526314176 = 26 · 311 · 72 · 175 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-226329,27397948] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:5379:1] [-13:-5502:1] |
Generators of the group modulo torsion |
j |
26166491059620436441/8515576500537024 |
j-invariant |
L |
9.6010556085198 |
L(r)(E,1)/r! |
Ω |
0.27564269900528 |
Real period |
R |
0.15832511434485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954a1 |
Quadratic twists by: -7 |