Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520f |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-292464640 = -1 · 211 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 5 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,820] |
[a1,a2,a3,a4,a6] |
Generators |
[4:26:1] |
Generators of the group modulo torsion |
j |
-338/5 |
j-invariant |
L |
2.5114810738228 |
L(r)(E,1)/r! |
Ω |
1.463541923226 |
Real period |
R |
0.28600491200678 |
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 |
6760d1 54080de1 121680bs1 67600o1 |
Quadratic twists by: -4 8 -3 5 |