Atkin-Lehner |
5+ 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
110075c |
Isogeny class |
Conductor |
110075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
-52672607421875 = -1 · 512 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -6 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,867,-349332] |
[a1,a2,a3,a4,a6] |
j |
4607442944/3371046875 |
j-invariant |
L |
0.5892089311049 |
L(r)(E,1)/r! |
Ω |
0.29460439257044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22015b1 |
Quadratic twists by: 5 |