Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200bi |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
3680000 = 28 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 1 3 5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,-388] |
[a1,a2,a3,a4,a6] |
j |
878800/23 |
j-invariant |
L |
4.4465568971838 |
L(r)(E,1)/r! |
Ω |
1.4821856323946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2300h1 36800dr1 82800fc1 9200v1 |
Quadratic twists by: -4 8 -3 5 |