Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516c |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-689601620736 = -1 · 28 · 310 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -3 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1265376,-547869980] |
[a1,a2,a3,a4,a6] |
j |
-500060830302208/1539 |
j-invariant |
L |
0.42703739879865 |
L(r)(E,1)/r! |
Ω |
0.071172899800558 |
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 |
11172n1 33516h1 |
Quadratic twists by: -3 -7 |