Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461k |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8098699370512778937 = -1 · 310 · 710 · 134 · 17 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-644751,-241612470] |
[a1,a2,a3,a4,a6] |
j |
-345608484635233/94427721297 |
j-invariant |
L |
2.6578909126612 |
L(r)(E,1)/r! |
Ω |
0.083059103998112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32487n3 13923g4 |
Quadratic twists by: -3 -7 |