Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520bd |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
65258457680 = 24 · 5 · 138 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47545,-4006170] |
[a1,a2,a3,a4,a6] |
Generators |
[18764145844986676:-1622191906456417283:2508803313472] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
4.1069710347995 |
L(r)(E,1)/r! |
Ω |
0.32331266962985 |
Real period |
R |
25.405568173381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3380h1 54080cf1 121680dp1 67600bx1 |
Quadratic twists by: -4 8 -3 5 |