Atkin-Lehner |
2+ 7- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89474b |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-831810430528 = -1 · 26 · 76 · 113 · 83 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-267075,53013773] |
[a1,a2,a3,a4,a6] |
j |
-17907613978515625/7070272 |
j-invariant |
L |
1.4474416110982 |
L(r)(E,1)/r! |
Ω |
0.72372082722359 |
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 |
1826a2 |
Quadratic twists by: -7 |