Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656cs |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
6127091712 = 218 · 32 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -1 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-464,960] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:6:1] [-8:64:1] |
Generators of the group modulo torsion |
j |
55164193/30528 |
j-invariant |
L |
9.1665355487566 |
L(r)(E,1)/r! |
Ω |
1.1648710665609 |
Real period |
R |
0.98364271949612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582z1 124656de1 |
Quadratic twists by: -4 -7 |