Atkin-Lehner |
2+ 7- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
111034b |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
116424 |
Modular degree for the optimal curve |
Δ |
-17061928576 = -1 · 27 · 76 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,268,-6030] |
[a1,a2,a3,a4,a6] |
j |
18191447/145024 |
j-invariant |
L |
0.61192425892817 |
L(r)(E,1)/r! |
Ω |
0.61192413515798 |
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 |
2266a1 |
Quadratic twists by: -7 |