Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461k |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
398040567561 = 37 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10915641,-13878310608] |
[a1,a2,a3,a4,a6] |
j |
1677087406638588673/4641 |
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 |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32487n4 13923g3 |
Quadratic twists by: -3 -7 |