Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616es |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
18556264626020352 = 213 · 36 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180075,-28672742] |
[a1,a2,a3,a4,a6] |
j |
765625/22 |
j-invariant |
L |
0.46433235056424 |
L(r)(E,1)/r! |
Ω |
0.23216618342674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702by1 8624y1 77616ee1 |
Quadratic twists by: -4 -3 -7 |