Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650cb |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6893568 |
Modular degree for the optimal curve |
Δ |
5.2685393720781E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12513480,17037417147] |
[a1,a2,a3,a4,a6] |
Generators |
[1999:1825:1] |
Generators of the group modulo torsion |
j |
534701144241/130000 |
j-invariant |
L |
6.6316885155688 |
L(r)(E,1)/r! |
Ω |
0.19456612751776 |
Real period |
R |
4.2605620760216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730q1 78650v1 |
Quadratic twists by: 5 -11 |