Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73568t |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-424928768 = -1 · 29 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2944,60520] |
[a1,a2,a3,a4,a6] |
Generators |
[27:38:1] [30:10:1] |
Generators of the group modulo torsion |
j |
-45564783176/6859 |
j-invariant |
L |
10.646533549494 |
L(r)(E,1)/r! |
Ω |
1.620402776571 |
Real period |
R |
1.0950501220455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73568p1 73568f1 |
Quadratic twists by: -4 -11 |