Atkin-Lehner |
5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
28975c |
Isogeny class |
Conductor |
28975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-11318359375 = -1 · 510 · 19 · 61 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,395,-4228] |
[a1,a2,a3,a4,a6] |
Generators |
[14:55:1] [90:823:1] |
Generators of the group modulo torsion |
j |
437245479/724375 |
j-invariant |
L |
5.2277305670221 |
L(r)(E,1)/r! |
Ω |
0.67161629279987 |
Real period |
R |
7.7838054601522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5795c1 |
Quadratic twists by: 5 |