Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100v |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1173229818750000 = -1 · 24 · 310 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16367,-1432012] |
[a1,a2,a3,a4,a6] |
j |
1939386712064/4692919275 |
j-invariant |
L |
5.0376359191113 |
L(r)(E,1)/r! |
Ω |
0.25188179595722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220f1 |
Quadratic twists by: 5 |