Atkin-Lehner |
5+ 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88825c |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1092096 |
Modular degree for the optimal curve |
Δ |
-1592769651171875 = -1 · 58 · 112 · 173 · 193 |
Discriminant |
Eigenvalues |
2 3 5+ 0 11+ 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,29075,-213719] |
[a1,a2,a3,a4,a6] |
j |
173965390516224/101937257675 |
j-invariant |
L |
13.418430827995 |
L(r)(E,1)/r! |
Ω |
0.27955064076678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17765d1 |
Quadratic twists by: 5 |