Atkin-Lehner |
5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735l |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144384 |
Modular degree for the optimal curve |
Δ |
-151008962195 = -1 · 5 · 78 · 132 · 31 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 0 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1976,-37983] |
[a1,a2,a3,a4,a6] |
j |
-7256313856/1283555 |
j-invariant |
L |
1.4183996403017 |
L(r)(E,1)/r! |
Ω |
0.3545999812302 |
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 |
14105d1 |
Quadratic twists by: -7 |