Atkin-Lehner |
2- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312n |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-2.2925787509627E+20 |
Discriminant |
Eigenvalues |
2- 0 3 0 -5 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-994811,-822522582] |
[a1,a2,a3,a4,a6] |
j |
-26581868211026710737/55971160912175104 |
j-invariant |
L |
2.1264755918818 |
L(r)(E,1)/r! |
Ω |
0.070882519729392 |
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 |
2914d1 93248bk1 |
Quadratic twists by: -4 8 |