Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992bc |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
665600 |
Modular degree for the optimal curve |
Δ |
-68062626585391104 = -1 · 212 · 319 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 2 5 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39216,-12902992] |
[a1,a2,a3,a4,a6] |
j |
-2233706549248/22794035931 |
j-invariant |
L |
5.3081085307875 |
L(r)(E,1)/r! |
Ω |
0.14744745967909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4437i1 23664m1 |
Quadratic twists by: -4 -3 |