Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200bc |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
4983603200 = 214 · 52 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,4468] |
[a1,a2,a3,a4,a6] |
Generators |
[4:46:1] |
Generators of the group modulo torsion |
j |
243135625/48668 |
j-invariant |
L |
2.6142656180432 |
L(r)(E,1)/r! |
Ω |
1.2944499077701 |
Real period |
R |
0.33659930270389 |
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 |
1150f1 36800cv1 82800dd1 9200bg1 |
Quadratic twists by: -4 8 -3 5 |