Atkin-Lehner |
2- 3+ 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630br |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3588662624256000 = -1 · 220 · 33 · 53 · 192 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51452,5350079] |
[a1,a2,a3,a4,a6] |
Generators |
[-2121:-79513:27] [117:-1019:1] |
Generators of the group modulo torsion |
j |
-557903155285798083/132913430528000 |
j-invariant |
L |
15.779261900919 |
L(r)(E,1)/r! |
Ω |
0.42336824513654 |
Real period |
R |
0.3105897777696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630c1 |
Quadratic twists by: -3 |