Atkin-Lehner |
2+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514b |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1627934 = -1 · 2 · 7 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-189,-1085] |
[a1,a2,a3,a4,a6] |
j |
-6221702113/13454 |
j-invariant |
L |
1.2865570370105 |
L(r)(E,1)/r! |
Ω |
0.64327851826074 |
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 |
52514ba1 |
Quadratic twists by: -11 |