Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53650i |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
6706250000 = 24 · 58 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13938,-634508] |
[a1,a2,a3,a4,a6] |
Generators |
[-546:301:8] |
Generators of the group modulo torsion |
j |
19164920149081/429200 |
j-invariant |
L |
3.2422486181452 |
L(r)(E,1)/r! |
Ω |
0.43938968864211 |
Real period |
R |
3.6894910165083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10730b1 |
Quadratic twists by: 5 |