Atkin-Lehner |
2- 5- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850r |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
4078080 |
Modular degree for the optimal curve |
Δ |
-591659008000000000 = -1 · 227 · 59 · 37 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 4 6 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-598888,-182236608] |
[a1,a2,a3,a4,a6] |
j |
-12162715602990317/302929412096 |
j-invariant |
L |
4.6268754204251 |
L(r)(E,1)/r! |
Ω |
0.08568289780531 |
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 |
112850i1 |
Quadratic twists by: 5 |