Atkin-Lehner |
2+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
129514b |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-2063627685425152 = -1 · 212 · 7 · 112 · 296 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3101,-2185851] |
[a1,a2,a3,a4,a6] |
j |
-5545233/3469312 |
j-invariant |
L |
0.83666360810657 |
L(r)(E,1)/r! |
Ω |
0.20916574776897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
154b1 |
Quadratic twists by: 29 |