Atkin-Lehner |
3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
11895j |
Isogeny class |
Conductor |
11895 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-5178571515 = -1 · 33 · 5 · 132 · 613 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,99,-3409] |
[a1,a2,a3,a4,a6] |
j |
106227040256/5178571515 |
j-invariant |
L |
1.3042513432417 |
L(r)(E,1)/r! |
Ω |
0.65212567162085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35685n1 59475b1 |
Quadratic twists by: -3 5 |