Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86700m |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
550800 |
Modular degree for the optimal curve |
Δ |
10848697972243200 = 28 · 35 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204708,35363592] |
[a1,a2,a3,a4,a6] |
Generators |
[193:1734:1] |
Generators of the group modulo torsion |
j |
21250000/243 |
j-invariant |
L |
6.1954768969985 |
L(r)(E,1)/r! |
Ω |
0.40644840583731 |
Real period |
R |
1.6936622509447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700cc1 86700be1 |
Quadratic twists by: 5 17 |