Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461m |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
57341894751652329 = 310 · 76 · 134 · 172 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-239913,43798320] |
[a1,a2,a3,a4,a6] |
j |
17806161424897/668584449 |
j-invariant |
L |
1.3986738300741 |
L(r)(E,1)/r! |
Ω |
0.34966843031461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32487l2 1989e2 |
Quadratic twists by: -3 -7 |