Atkin-Lehner |
2+ 3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950bf |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-226287000000 = -1 · 26 · 33 · 56 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-726,-24152] |
[a1,a2,a3,a4,a6] |
Generators |
[62:381:1] |
Generators of the group modulo torsion |
j |
-2703045457/14482368 |
j-invariant |
L |
5.1540482668181 |
L(r)(E,1)/r! |
Ω |
0.41381382505215 |
Real period |
R |
2.0758321552522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2958a1 |
Quadratic twists by: 5 |