Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bd |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
200704 |
Modular degree for the optimal curve |
Δ |
-32390521159680 = -1 · 217 · 313 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9228,437488] |
[a1,a2,a3,a4,a6] |
j |
-909513218/338985 |
j-invariant |
L |
2.4729285687365 |
L(r)(E,1)/r! |
Ω |
0.61823210338907 |
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 |
89280eq1 11160g1 29760bf1 |
Quadratic twists by: -4 8 -3 |