Atkin-Lehner |
2+ 3+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088c |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2607178752 = 210 · 34 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:6:1] [-4:36:1] |
Generators of the group modulo torsion |
j |
4409211748/2546073 |
j-invariant |
L |
6.4934093331312 |
L(r)(E,1)/r! |
Ω |
1.2100699177421 |
Real period |
R |
1.3415359802614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17544h1 105264f1 |
Quadratic twists by: -4 -3 |