Atkin-Lehner |
3+ 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13485f |
Isogeny class |
Conductor |
13485 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
7166481885 = 313 · 5 · 29 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 2 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1310,18233] |
[a1,a2,a3,a4,a6] |
Generators |
[388:6519:64] |
Generators of the group modulo torsion |
j |
248810715099136/7166481885 |
j-invariant |
L |
8.1409102048826 |
L(r)(E,1)/r! |
Ω |
1.3199465762641 |
Real period |
R |
6.1676058344151 |
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 |
40455f1 67425j1 |
Quadratic twists by: -3 5 |