Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992h |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
465778512 = 24 · 310 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1506,22471] |
[a1,a2,a3,a4,a6] |
j |
32385538048/39933 |
j-invariant |
L |
1.659576888733 |
L(r)(E,1)/r! |
Ω |
1.659576898251 |
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 |
35496e1 23664e1 |
Quadratic twists by: -4 -3 |