Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290r |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-4.1538039704084E+23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-236270773,1398103640333] |
[a1,a2,a3,a4,a6] |
Generators |
[-15961:1058418:1] |
Generators of the group modulo torsion |
j |
-57839429434456681/16470860000 |
j-invariant |
L |
2.3483943895676 |
L(r)(E,1)/r! |
Ω |
0.092368714335817 |
Real period |
R |
3.1780165051565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470k1 59290cy1 |
Quadratic twists by: -7 -11 |