Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18400i |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
2355200 = 212 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 -3 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] [-1:4:1] |
Generators of the group modulo torsion |
j |
40000/23 |
j-invariant |
L |
4.9506198745497 |
L(r)(E,1)/r! |
Ω |
2.1603805373711 |
Real period |
R |
0.57288748312086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400n1 36800bb1 18400t1 |
Quadratic twists by: -4 8 5 |