Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008r |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-18445542912 = -1 · 29 · 38 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 6 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,6808] |
[a1,a2,a3,a4,a6] |
j |
-3638052872/36026451 |
j-invariant |
L |
4.1795628637363 |
L(r)(E,1)/r! |
Ω |
1.0448907159345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008v2 62016cw2 93024j2 |
Quadratic twists by: -4 8 -3 |