Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992z |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-119239299072 = -1 · 212 · 310 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 0 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1221,-2518] |
[a1,a2,a3,a4,a6] |
j |
67419143/39933 |
j-invariant |
L |
2.4548372262049 |
L(r)(E,1)/r! |
Ω |
0.61370930380959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4437g1 23664l1 |
Quadratic twists by: -4 -3 |