Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382ci |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2280257173041408 = 28 · 37 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-162284,25098351] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4959:1] |
Generators of the group modulo torsion |
j |
365986170577/1765632 |
j-invariant |
L |
10.628565326034 |
L(r)(E,1)/r! |
Ω |
0.46344275132757 |
Real period |
R |
2.8667417107046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794i1 3762d1 |
Quadratic twists by: -3 -11 |