Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864d |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
13375307088 = 24 · 312 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-767,-5742] |
[a1,a2,a3,a4,a6] |
j |
3122884507648/835956693 |
j-invariant |
L |
0.92523069117708 |
L(r)(E,1)/r! |
Ω |
0.92523069117708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3432e1 27456cg1 20592o1 75504c1 |
Quadratic twists by: -4 8 -3 -11 |