Atkin-Lehner |
2- 3- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130bq |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-4150421349750 = -1 · 2 · 315 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3937,22781] |
[a1,a2,a3,a4,a6] |
Generators |
[-6342:322559:2744] |
Generators of the group modulo torsion |
j |
9259677062999/5693307750 |
j-invariant |
L |
11.320344047908 |
L(r)(E,1)/r! |
Ω |
0.48125309746127 |
Real period |
R |
5.8806603448801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710r1 |
Quadratic twists by: -3 |