Atkin-Lehner |
2- 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97704m |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-23048493521107968 = -1 · 210 · 312 · 233 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,7304366] |
[a1,a2,a3,a4,a6] |
j |
-768400132/30875575383 |
j-invariant |
L |
3.6409864185562 |
L(r)(E,1)/r! |
Ω |
0.3034155344532 |
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 |
32568a1 |
Quadratic twists by: -3 |