Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bj |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
19643375925854208 = 222 · 33 · 113 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112124,12809151] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:4997:1] |
Generators of the group modulo torsion |
j |
4337844797073969/546605891584 |
j-invariant |
L |
10.826641128974 |
L(r)(E,1)/r! |
Ω |
0.37165113049838 |
Real period |
R |
0.33103629380652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41382b1 41382a1 |
Quadratic twists by: -3 -11 |