Atkin-Lehner |
5+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9455a |
Isogeny class |
Conductor |
9455 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-21988784375 = -1 · 55 · 31 · 613 |
Discriminant |
Eigenvalues |
-1 -1 5+ 1 4 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,89,7164] |
[a1,a2,a3,a4,a6] |
j |
77909194511/21988784375 |
j-invariant |
L |
0.93515561207902 |
L(r)(E,1)/r! |
Ω |
0.93515561207902 |
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 |
85095r1 47275e1 |
Quadratic twists by: -3 5 |