Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520d |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
8995972800 = 26 · 3 · 52 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-556,2350] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:679:8] |
Generators of the group modulo torsion |
j |
297542483776/140562075 |
j-invariant |
L |
5.6080107791355 |
L(r)(E,1)/r! |
Ω |
1.1605949817419 |
Real period |
R |
4.8320136372796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520z1 17760r2 106560cx1 |
Quadratic twists by: -4 8 -3 |