Atkin-Lehner |
5+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9455b |
Isogeny class |
Conductor |
9455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3088 |
Modular degree for the optimal curve |
Δ |
-576755 = -1 · 5 · 31 · 612 |
Discriminant |
Eigenvalues |
2 3 5+ 2 2 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13,-41] |
[a1,a2,a3,a4,a6] |
j |
-242970624/576755 |
j-invariant |
L |
9.3872931972243 |
L(r)(E,1)/r! |
Ω |
1.173411649653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85095s1 47275f1 |
Quadratic twists by: -3 5 |