Atkin-Lehner |
2+ 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
66650a |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
315483776000000 = 213 · 56 · 31 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -3 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78167,8387741] |
[a1,a2,a3,a4,a6] |
Generators |
[313:3653:1] |
Generators of the group modulo torsion |
j |
3380470452981441/20190961664 |
j-invariant |
L |
3.0724096731008 |
L(r)(E,1)/r! |
Ω |
0.54659116507717 |
Real period |
R |
5.6210379327694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666c1 |
Quadratic twists by: 5 |