Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200g |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
23125000000 = 26 · 510 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 -3 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15633,747113] |
[a1,a2,a3,a4,a6] |
Generators |
[1776:2375:27] |
Generators of the group modulo torsion |
j |
422550360064/23125 |
j-invariant |
L |
8.7592362650952 |
L(r)(E,1)/r! |
Ω |
1.1362317872248 |
Real period |
R |
3.8545111849526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200ci1 925d1 11840r1 |
Quadratic twists by: -4 8 5 |