Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bg |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
13451602500000000 = 28 · 33 · 510 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-164501,-25080352] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:726:1] |
Generators of the group modulo torsion |
j |
31506888650368321/860902560000 |
j-invariant |
L |
6.6508625676123 |
L(r)(E,1)/r! |
Ω |
0.23745558430175 |
Real period |
R |
2.3340724910376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430ba1 |
Quadratic twists by: 5 |