Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600ba |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
291635200 = 217 · 52 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 6 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288,1792] |
[a1,a2,a3,a4,a6] |
Generators |
[16:32:1] |
Generators of the group modulo torsion |
j |
25888585/2848 |
j-invariant |
L |
3.765724683246 |
L(r)(E,1)/r! |
Ω |
1.6763465087919 |
Real period |
R |
0.56159700030634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450j1 35600bi1 |
Quadratic twists by: -4 5 |