Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008v |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
31814208 = 26 · 34 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -6 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-446,-3768] |
[a1,a2,a3,a4,a6] |
j |
153646158016/497097 |
j-invariant |
L |
4.1555565237305 |
L(r)(E,1)/r! |
Ω |
1.0388891309328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008r1 62016ck1 93024g1 |
Quadratic twists by: -4 8 -3 |