Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610c |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11658240 |
Modular degree for the optimal curve |
Δ |
-1.4317002275437E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-894144465,-10290825776419] |
[a1,a2,a3,a4,a6] |
j |
-70681322281271643/1280000 |
j-invariant |
L |
1.3804403190222 |
L(r)(E,1)/r! |
Ω |
0.013804403190071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47610bk1 47610j1 |
Quadratic twists by: -3 -23 |