Atkin-Lehner |
5- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
110075j |
Isogeny class |
Conductor |
110075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-795291875 = -1 · 54 · 7 · 173 · 37 |
Discriminant |
Eigenvalues |
0 1 5- 7- 0 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,217,-506] |
[a1,a2,a3,a4,a6] |
Generators |
[21686:178037:343] |
Generators of the group modulo torsion |
j |
1799782400/1272467 |
j-invariant |
L |
7.3188089350725 |
L(r)(E,1)/r! |
Ω |
0.89726826760465 |
Real period |
R |
8.1567678286006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948771 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110075a1 |
Quadratic twists by: 5 |