Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ez |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
233472000000 = 218 · 3 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2433,40737] |
[a1,a2,a3,a4,a6] |
j |
389017/57 |
j-invariant |
L |
1.9024843490316 |
L(r)(E,1)/r! |
Ω |
0.95124218849088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200dn1 22800de1 3648bf1 |
Quadratic twists by: -4 8 5 |