Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635m |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-824683607055 = -1 · 32 · 5 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2180,20252] |
[a1,a2,a3,a4,a6] |
j |
1145725929069119/824683607055 |
j-invariant |
L |
1.134282164039 |
L(r)(E,1)/r! |
Ω |
0.56714108201951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58905y1 98175u1 |
Quadratic twists by: -3 5 |