Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104h |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
628992 = 28 · 33 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,310] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] [2:12:1] |
Generators of the group modulo torsion |
j |
10536048/91 |
j-invariant |
L |
5.2718089754826 |
L(r)(E,1)/r! |
Ω |
2.9007053957492 |
Real period |
R |
1.817423094123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6552e1 52416ds1 13104g1 91728c1 |
Quadratic twists by: -4 8 -3 -7 |