Atkin-Lehner |
2- 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110cd |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-6688427322096000000 = -1 · 210 · 318 · 56 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8747798,9961516581] |
[a1,a2,a3,a4,a6] |
j |
-101552910586949596071961/9174797424000000 |
j-invariant |
L |
4.5322661158504 |
L(r)(E,1)/r! |
Ω |
0.22661330118731 |
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 |
32370k1 |
Quadratic twists by: -3 |