Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820z |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
42195431250000 = 24 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13692,531601] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:945:1] |
Generators of the group modulo torsion |
j |
70954958848/10546875 |
j-invariant |
L |
4.7368208559582 |
L(r)(E,1)/r! |
Ω |
0.61656504548614 |
Real period |
R |
0.16005410711315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280fk1 2940g1 44100bx1 8820m1 |
Quadratic twists by: -4 -3 5 -7 |