Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bp |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1171705424707584 = -1 · 216 · 37 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8061,1623170] |
[a1,a2,a3,a4,a6] |
j |
19400056703/392401776 |
j-invariant |
L |
2.9134991874395 |
L(r)(E,1)/r! |
Ω |
0.36418738763227 |
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 |
14274h1 38064s1 |
Quadratic twists by: -4 -3 |