Atkin-Lehner |
3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9435a |
Isogeny class |
Conductor |
9435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-93867163875 = -1 · 35 · 53 · 174 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 0 7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1291,-22728] |
[a1,a2,a3,a4,a6] |
j |
-238143535611904/93867163875 |
j-invariant |
L |
0.78119558165332 |
L(r)(E,1)/r! |
Ω |
0.39059779082666 |
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 |
28305l1 47175m1 |
Quadratic twists by: -3 5 |