Atkin-Lehner |
2+ 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122i |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-15958589972688 = -1 · 24 · 32 · 119 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11+ 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-971,-192634] |
[a1,a2,a3,a4,a6] |
j |
-42875/6768 |
j-invariant |
L |
2.4811227444421 |
L(r)(E,1)/r! |
Ω |
0.31014034305574 |
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 |
102366bc1 34122s1 |
Quadratic twists by: -3 -11 |