Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
33880s |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
-486116338400000 = -1 · 28 · 55 · 73 · 116 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 11- 5 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49852,-4413596] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
1.5942062459119 |
L(r)(E,1)/r! |
Ω |
0.15942062458948 |
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 |
67760u1 280b1 |
Quadratic twists by: -4 -11 |