Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610w |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-1.0422511720584E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1999719,1194630525] |
[a1,a2,a3,a4,a6] |
j |
-8194759433281/965779200 |
j-invariant |
L |
1.4657849718843 |
L(r)(E,1)/r! |
Ω |
0.183223121482 |
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 |
15870bg1 2070f1 |
Quadratic twists by: -3 -23 |