Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424cr |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1538340470784 = -1 · 214 · 34 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -5 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22789,-1317923] |
[a1,a2,a3,a4,a6] |
j |
-79891143083008/93892851 |
j-invariant |
L |
2.3312416740701 |
L(r)(E,1)/r! |
Ω |
0.19427013950942 |
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 |
47424bu1 11856j1 |
Quadratic twists by: -4 8 |