Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650bg |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-1287556300800 = -1 · 217 · 36 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1668,-48304] |
[a1,a2,a3,a4,a6] |
j |
28151260695/70647808 |
j-invariant |
L |
1.7750348208482 |
L(r)(E,1)/r! |
Ω |
0.44375870521348 |
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 |
3850q1 34650ec1 |
Quadratic twists by: -3 5 |