Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610z |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2543616 |
Modular degree for the optimal curve |
Δ |
-4.932464394515E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1261566,-919182060] |
[a1,a2,a3,a4,a6] |
j |
3889584671/8640000 |
j-invariant |
L |
1.3751021815401 |
L(r)(E,1)/r! |
Ω |
0.085943886386411 |
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 |
15870bh1 47610p1 |
Quadratic twists by: -3 -23 |