Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608u |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-61735207790592 = -1 · 211 · 32 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61168,5814752] |
[a1,a2,a3,a4,a6] |
j |
-306260750/747 |
j-invariant |
L |
2.4976894012404 |
L(r)(E,1)/r! |
Ω |
0.62442234987019 |
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 |
97608q1 |
Quadratic twists by: -7 |