Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200bf |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-11776000 = -1 · 212 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 1 0 -2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293,-1843] |
[a1,a2,a3,a4,a6] |
Generators |
[1348:1905:64] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
6.2160429307098 |
L(r)(E,1)/r! |
Ω |
0.5766596509241 |
Real period |
R |
5.3896981700979 |
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 |
575e1 36800di1 82800fo1 9200bj1 |
Quadratic twists by: -4 8 -3 5 |