Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35360j |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
1737236800 = 26 · 52 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 0 5- 2 2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-337,1284] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:60:1] |
Generators of the group modulo torsion |
j |
66135317184/27144325 |
j-invariant |
L |
6.5902188418098 |
L(r)(E,1)/r! |
Ω |
1.3513728520734 |
Real period |
R |
2.4383421761425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35360d1 70720i2 |
Quadratic twists by: -4 8 |