Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104c |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
18255431376 = 24 · 39 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521694,-145034685] |
[a1,a2,a3,a4,a6] |
Generators |
[207942620451520591:10644620375312208190:73649631442213] |
Generators of the group modulo torsion |
j |
49860882714802176/57967 |
j-invariant |
L |
5.2174069855733 |
L(r)(E,1)/r! |
Ω |
0.17764197551875 |
Real period |
R |
29.370349943122 |
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 |
6552p1 52416dz1 13104d1 91728i1 |
Quadratic twists by: -4 8 -3 -7 |