Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560be |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-3012273930240 = -1 · 215 · 34 · 5 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15681,755199] |
[a1,a2,a3,a4,a6] |
Generators |
[117:732:1] |
Generators of the group modulo torsion |
j |
-13014357632648/91927305 |
j-invariant |
L |
6.5136479400595 |
L(r)(E,1)/r! |
Ω |
0.80535549808199 |
Real period |
R |
0.33699651663421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560f1 29280h1 |
Quadratic twists by: -4 8 |