Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ex |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1460878164900 = 22 · 313 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76892,8225691] |
[a1,a2,a3,a4,a6] |
Generators |
[129:599:1] |
Generators of the group modulo torsion |
j |
68965892443534969/2003948100 |
j-invariant |
L |
12.855607289188 |
L(r)(E,1)/r! |
Ω |
0.79186241703207 |
Real period |
R |
4.0586619039666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270g1 |
Quadratic twists by: -3 |