Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485j |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
7392166011285 = 3 · 5 · 1110 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 11- -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4880,-8812] |
[a1,a2,a3,a4,a6] |
j |
495616/285 |
j-invariant |
L |
0.62110043392248 |
L(r)(E,1)/r! |
Ω |
0.6211004339338 |
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 |
103455t1 34485g1 |
Quadratic twists by: -3 -11 |