Atkin-Lehner |
3+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17355a |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6016 |
Modular degree for the optimal curve |
Δ |
6508125 = 32 · 54 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 2 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-911,10892] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:37:1] [16:12:1] |
Generators of the group modulo torsion |
j |
83705785974784/6508125 |
j-invariant |
L |
4.6899515438992 |
L(r)(E,1)/r! |
Ω |
2.2638276952177 |
Real period |
R |
0.51792275907394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52065l1 86775w1 |
Quadratic twists by: -3 5 |