Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
888c |
Isogeny class |
Conductor |
888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6905088 = 28 · 36 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188,-924] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2:1] |
Generators of the group modulo torsion |
j |
2885794000/26973 |
j-invariant |
L |
2.0698576774599 |
L(r)(E,1)/r! |
Ω |
1.2894745254293 |
Real period |
R |
0.80259735134001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1776c2 7104f2 2664b2 22200f2 |
Quadratic twists by: -4 8 -3 5 |