Atkin-Lehner |
2+ 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98136d |
Isogeny class |
Conductor |
98136 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
650240 |
Modular degree for the optimal curve |
Δ |
89369078040336384 = 211 · 38 · 29 · 475 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 4 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123987,-8689138] |
[a1,a2,a3,a4,a6] |
j |
141186992508578/59859046827 |
j-invariant |
L |
2.6427911060056 |
L(r)(E,1)/r! |
Ω |
0.26427909542065 |
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 |
32712c1 |
Quadratic twists by: -3 |