Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192bl |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-2105471686430008944 = -1 · 24 · 314 · 317 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -6 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66309,69502403] |
[a1,a2,a3,a4,a6] |
j |
3114752/203391 |
j-invariant |
L |
1.5920090199438 |
L(r)(E,1)/r! |
Ω |
0.1990011264198 |
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 |
23064c1 2232l1 |
Quadratic twists by: -3 -31 |