Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520y |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
7140250000 = 24 · 56 · 134 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1070,13207] |
[a1,a2,a3,a4,a6] |
Generators |
[9:65:1] |
Generators of the group modulo torsion |
j |
296747776/15625 |
j-invariant |
L |
4.0462793332955 |
L(r)(E,1)/r! |
Ω |
1.3076231509282 |
Real period |
R |
0.1719098473705 |
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 |
3380f1 54080bz1 121680de1 67600bp1 |
Quadratic twists by: -4 8 -3 5 |