Atkin-Lehner |
2+ 3- 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946j |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3216 |
Modular degree for the optimal curve |
Δ |
-119784 = -1 · 23 · 3 · 7 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11,8] |
[a1,a2,a3,a4,a6] |
j |
167284151/119784 |
j-invariant |
L |
2.1046974865304 |
L(r)(E,1)/r! |
Ω |
2.1046974865295 |
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 |
89838be1 |
Quadratic twists by: -3 |