Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730bc |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
1260 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
2.1521123021647E+23 |
Discriminant |
Eigenvalues |
2- -1 5- 4 11- 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190373235,1010687759665] |
[a1,a2,a3,a4,a6] |
Generators |
[-4427:1331398:1] |
Generators of the group modulo torsion |
j |
3559589366328163617361/1003976272000000 |
j-invariant |
L |
7.3248933041525 |
L(r)(E,1)/r! |
Ω |
0.097556240598858 |
Real period |
R |
0.059590317836787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840cq1 78650f1 15730m1 |
Quadratic twists by: -4 5 -11 |