Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400bl |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-1423046636000000 = -1 · 28 · 56 · 115 · 472 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171700,27444500] |
[a1,a2,a3,a4,a6] |
j |
-139950548941824/355761659 |
j-invariant |
L |
9.6173648347556 |
L(r)(E,1)/r! |
Ω |
0.48086823045524 |
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 |
4136b1 |
Quadratic twists by: 5 |