Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200eb |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
4560000000 = 210 · 3 · 57 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9533,-361437] |
[a1,a2,a3,a4,a6] |
Generators |
[7869:125776:27] |
Generators of the group modulo torsion |
j |
5988775936/285 |
j-invariant |
L |
7.1089118657931 |
L(r)(E,1)/r! |
Ω |
0.48315847315877 |
Real period |
R |
7.3567082636904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fl1 11400c1 18240i1 |
Quadratic twists by: -4 8 5 |