Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200bc |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-612723916800 = -1 · 216 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2433,60417] |
[a1,a2,a3,a4,a6] |
j |
-972542500/373977 |
j-invariant |
L |
3.4385603903469 |
L(r)(E,1)/r! |
Ω |
0.8596400765622 |
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 |
91200hs1 11400bi1 91200er1 |
Quadratic twists by: -4 8 5 |