Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850a |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1132329922560000000 = -1 · 218 · 39 · 57 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,82308,50363216] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:5818:1] |
Generators of the group modulo torsion |
j |
200509785477/3681812480 |
j-invariant |
L |
4.431073193577 |
L(r)(E,1)/r! |
Ω |
0.20495803995196 |
Real period |
R |
2.702427039832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23850bx1 4770t1 |
Quadratic twists by: -3 5 |