Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306s |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-164002706 = -1 · 2 · 76 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3 -3 7- -3 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89,503] |
[a1,a2,a3,a4,a6] |
j |
658503/1394 |
j-invariant |
L |
2.5159082287473 |
L(r)(E,1)/r! |
Ω |
1.2579541155572 |
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 |
1394d1 |
Quadratic twists by: -7 |