Atkin-Lehner |
2+ 3- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544n |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1512000 |
Modular degree for the optimal curve |
Δ |
-407481032675586816 = -1 · 28 · 36 · 23 · 377 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -4 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-545484,-158079764] |
[a1,a2,a3,a4,a6] |
j |
-96183874620408832/2183433174059 |
j-invariant |
L |
0.61402905149752 |
L(r)(E,1)/r! |
Ω |
0.087718430132501 |
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 |
61272g1 13616c1 |
Quadratic twists by: -4 -3 |