Atkin-Lehner |
3- 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119427d |
Isogeny class |
Conductor |
119427 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-62836948017459 = -1 · 34 · 7 · 119 · 47 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 11+ 4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1691,-380305] |
[a1,a2,a3,a4,a6] |
j |
226981/26649 |
j-invariant |
L |
2.3569219348086 |
L(r)(E,1)/r! |
Ω |
0.29461502424749 |
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 |
119427e1 |
Quadratic twists by: -11 |