Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18656h |
Isogeny class |
Conductor |
18656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
410432 = 26 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -2 -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74,220] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:22:1] |
Generators of the group modulo torsion |
j |
709732288/6413 |
j-invariant |
L |
2.8307697752673 |
L(r)(E,1)/r! |
Ω |
3.0053933305535 |
Real period |
R |
0.94189660517612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18656f1 37312y2 |
Quadratic twists by: -4 8 |