Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58812i |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-77203308479232 = -1 · 28 · 3 · 132 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 4 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,659,422473] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2755:1] |
Generators of the group modulo torsion |
j |
730456064/1784469963 |
j-invariant |
L |
7.7750474681674 |
L(r)(E,1)/r! |
Ω |
0.47974472048012 |
Real period |
R |
2.7011057951869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812k1 |
Quadratic twists by: 13 |