Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hs |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
18 |
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] |
Generators |
[69:324:1] |
Generators of the group modulo torsion |
j |
-972542500/373977 |
j-invariant |
L |
8.7993372675333 |
L(r)(E,1)/r! |
Ω |
0.33351064885716 |
Real period |
R |
1.4657764961341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200bc1 22800i1 91200gt1 |
Quadratic twists by: -4 8 5 |