Atkin-Lehner |
2- 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4182f |
Isogeny class |
Conductor |
4182 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
6423552 = 210 · 32 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -4 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120,441] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:29:1] [-3:29:1] |
Generators of the group modulo torsion |
j |
191202526081/6423552 |
j-invariant |
L |
4.402836260146 |
L(r)(E,1)/r! |
Ω |
2.363774788578 |
Real period |
R |
0.37252586679761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33456t1 12546g1 104550bb1 71094bb1 |
Quadratic twists by: -4 -3 5 17 |