Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192s |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
63902685137616 = 24 · 318 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33114,2287235] |
[a1,a2,a3,a4,a6] |
j |
344279476959232/5478625269 |
j-invariant |
L |
4.9779764245691 |
L(r)(E,1)/r! |
Ω |
0.62224706722827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096t1 38064g1 |
Quadratic twists by: -4 -3 |