Atkin-Lehner |
2+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35360d |
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 |
[-13:30:1] [-8:30:1] |
Generators of the group modulo torsion |
j |
66135317184/27144325 |
j-invariant |
L |
8.4953308428608 |
L(r)(E,1)/r! |
Ω |
1.1551599238212 |
Real period |
R |
3.677123256994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35360j1 70720j2 |
Quadratic twists by: -4 8 |