Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088x |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-237668918256 = -1 · 24 · 313 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-23263] |
[a1,a2,a3,a4,a6] |
j |
575511296/20376279 |
j-invariant |
L |
2.8582453627429 |
L(r)(E,1)/r! |
Ω |
0.47637422712382 |
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 |
5544o1 44352eh1 3696c1 77616cf1 |
Quadratic twists by: -4 8 -3 -7 |