Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89056b |
Isogeny class |
Conductor |
89056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
27767192009216 = 29 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ -2 3 -1 11+ 1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36824,2695768] |
[a1,a2,a3,a4,a6] |
j |
4574296/23 |
j-invariant |
L |
2.6768271375612 |
L(r)(E,1)/r! |
Ω |
0.66920676334377 |
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 |
89056a1 89056j1 |
Quadratic twists by: -4 -11 |