Atkin-Lehner |
2+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334g |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-7129902660041728 = -1 · 210 · 73 · 176 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87332,10754128] |
[a1,a2,a3,a4,a6] |
Generators |
[168:812:1] |
Generators of the group modulo torsion |
j |
-3051779837625/295386112 |
j-invariant |
L |
5.5860966941584 |
L(r)(E,1)/r! |
Ω |
0.4092956785371 |
Real period |
R |
2.2746785804009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
406a1 |
Quadratic twists by: 17 |