Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610d |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-1.2627108849958E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,177645,-539918155] |
[a1,a2,a3,a4,a6] |
j |
212776173/43335680 |
j-invariant |
L |
1.3988540459221 |
L(r)(E,1)/r! |
Ω |
0.087428377887774 |
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 |
47610bl1 2070b1 |
Quadratic twists by: -3 -23 |