Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46640l |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
310389200 = 24 · 52 · 114 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,-3110] |
[a1,a2,a3,a4,a6] |
Generators |
[34:154:1] |
Generators of the group modulo torsion |
j |
446806441984/19399325 |
j-invariant |
L |
4.3336946341673 |
L(r)(E,1)/r! |
Ω |
1.0695154350228 |
Real period |
R |
2.0260084577829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11660b1 |
Quadratic twists by: -4 |