Atkin-Lehner |
2- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
25850j |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
51700 = 22 · 52 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11+ 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:15:8] |
Generators of the group modulo torsion |
j |
53969305/2068 |
j-invariant |
L |
10.376605557509 |
L(r)(E,1)/r! |
Ω |
2.1847055697792 |
Real period |
R |
2.37482929074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25850e1 |
Quadratic twists by: 5 |