Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104x |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2044608314112 = -1 · 28 · 39 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,69046] |
[a1,a2,a3,a4,a6] |
Generators |
[17:252:1] |
Generators of the group modulo torsion |
j |
-137842000/10955763 |
j-invariant |
L |
5.0731899713481 |
L(r)(E,1)/r! |
Ω |
0.68175172176966 |
Real period |
R |
0.93017549669316 |
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 |
6552s2 52416gi2 4368l2 91728be2 |
Quadratic twists by: -4 8 -3 -7 |