Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bw |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12717234140625000 = 23 · 37 · 510 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-898542,328015116] |
[a1,a2,a3,a4,a6] |
j |
7043549569215769/1116465000 |
j-invariant |
L |
3.0913424997381 |
L(r)(E,1)/r! |
Ω |
0.38641778761418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550cn4 19530cd4 |
Quadratic twists by: -3 5 |