Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6800z |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-696320000 = -1 · 216 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3 5- 1 4 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,-1150] |
[a1,a2,a3,a4,a6] |
j |
84375/272 |
j-invariant |
L |
4.933398827251 |
L(r)(E,1)/r! |
Ω |
0.82223313787517 |
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 |
850e1 27200cx1 61200gm1 6800p1 |
Quadratic twists by: -4 8 -3 5 |