Atkin-Lehner |
2+ 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68306g |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
68306 = 2 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -2 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11,-13] |
[a1,a2,a3,a4,a6] |
j |
3451273/1394 |
j-invariant |
L |
2.683993303477 |
L(r)(E,1)/r! |
Ω |
2.6839932879997 |
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 |
68306d1 |
Quadratic twists by: -7 |