Atkin-Lehner |
2+ 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109648b |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-12280576 = -1 · 28 · 72 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 11- 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,-171] |
[a1,a2,a3,a4,a6] |
j |
5030912/47971 |
j-invariant |
L |
2.2265090879454 |
L(r)(E,1)/r! |
Ω |
1.1132544304114 |
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 |
54824c1 |
Quadratic twists by: -4 |