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 |
Δ |
67295118118884678 = 2 · 314 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46128974,-120577774809] |
[a1,a2,a3,a4,a6] |
Generators |
[-5339028197178660:2666959571473173:1361725440704] |
Generators of the group modulo torsion |
j |
8405459297332260337/52107462 |
j-invariant |
L |
10.628565326034 |
L(r)(E,1)/r! |
Ω |
0.057930343915946 |
Real period |
R |
22.933933685637 |
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 |
13794i5 3762d5 |
Quadratic twists by: -3 -11 |