Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200p |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
14720000 = 210 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -5 -5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-1212] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2:1] |
Generators of the group modulo torsion |
j |
1562500/23 |
j-invariant |
L |
2.8131762925269 |
L(r)(E,1)/r! |
Ω |
1.2577579115851 |
Real period |
R |
1.1183297940784 |
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 |
4600m1 36800dq1 82800bx1 9200c1 |
Quadratic twists by: -4 8 -3 5 |