Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dq |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
31105312588800 = 210 · 311 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19793,-1044297] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:171:1] |
Generators of the group modulo torsion |
j |
33499672587520/1215051273 |
j-invariant |
L |
7.6922214522128 |
L(r)(E,1)/r! |
Ω |
0.40340142332475 |
Real period |
R |
0.5778304346379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fb1 11400v1 91200cb1 |
Quadratic twists by: -4 8 5 |