Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200bl |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-108339200000000 = -1 · 219 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3 5- 4 -3 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3125,496250] |
[a1,a2,a3,a4,a6] |
j |
2109375/67712 |
j-invariant |
L |
5.3772053493562 |
L(r)(E,1)/r! |
Ω |
0.44810044577968 |
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 |
1150i1 36800dt1 82800fk1 9200x1 |
Quadratic twists by: -4 8 -3 5 |