Atkin-Lehner |
2- 3+ 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630bo |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
570194657280 = 222 · 33 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2363,25771] |
[a1,a2,a3,a4,a6] |
Generators |
[43:26:1] [-37:266:1] |
Generators of the group modulo torsion |
j |
54023012580627/21118320640 |
j-invariant |
L |
14.268602774481 |
L(r)(E,1)/r! |
Ω |
0.83750808136674 |
Real period |
R |
1.5488157495175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630g1 |
Quadratic twists by: -3 |