Atkin-Lehner |
2- 3- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630cg |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-249494080837500 = -1 · 22 · 39 · 55 · 192 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9778,-665031] |
[a1,a2,a3,a4,a6] |
Generators |
[766:8163:8] |
Generators of the group modulo torsion |
j |
141836472398951/342241537500 |
j-invariant |
L |
11.585719401818 |
L(r)(E,1)/r! |
Ω |
0.28660093005839 |
Real period |
R |
2.0212285074825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30210d1 |
Quadratic twists by: -3 |