Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222i |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-84417719244912 = -1 · 24 · 316 · 23 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-212864,-37750125] |
[a1,a2,a3,a4,a6] |
j |
-1463190685066591417/115799340528 |
j-invariant |
L |
8.0015587438125 |
L(r)(E,1)/r! |
Ω |
0.11113276033075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074e1 |
Quadratic twists by: -3 |