Atkin-Lehner |
2- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306z |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-150473138765824 = -1 · 218 · 77 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3382,-596429] |
[a1,a2,a3,a4,a6] |
Generators |
[385:7247:1] |
Generators of the group modulo torsion |
j |
-36363385297/1279000576 |
j-invariant |
L |
16.28632626839 |
L(r)(E,1)/r! |
Ω |
0.25209293579781 |
Real period |
R |
3.5891362879169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758g1 |
Quadratic twists by: -7 |