Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8800f |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-704000000 = -1 · 212 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 11- 2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,1237] |
[a1,a2,a3,a4,a6] |
j |
512/11 |
j-invariant |
L |
2.4062232445293 |
L(r)(E,1)/r! |
Ω |
1.2031116222647 |
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 |
8800q1 17600c1 79200dr1 352b1 |
Quadratic twists by: -4 8 -3 5 |