Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bu |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-40775664384 = -1 · 28 · 36 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5256,146988] |
[a1,a2,a3,a4,a6] |
Generators |
[42:18:1] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
5.552167143598 |
L(r)(E,1)/r! |
Ω |
1.1497185892219 |
Real period |
R |
1.2072882868136 |
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 |
3276k1 52416fo1 1456e1 91728gc1 |
Quadratic twists by: -4 8 -3 -7 |