Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bl |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-228906590016 = -1 · 26 · 3 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8932,-328726] |
[a1,a2,a3,a4,a6] |
Generators |
[163802201:526613364:1442897] |
Generators of the group modulo torsion |
j |
-1231511588068672/3576665469 |
j-invariant |
L |
3.5797517285322 |
L(r)(E,1)/r! |
Ω |
0.24550073030283 |
Real period |
R |
14.581430059646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424k1 23712f1 |
Quadratic twists by: -4 8 |