Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247p |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8141938860946011093 = 36 · 76 · 377 |
Discriminant |
Eigenvalues |
1 3- 4 7- -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2343300,1374413903] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:39733:1] |
Generators of the group modulo torsion |
j |
760798453689/4353013 |
j-invariant |
L |
10.05917922872 |
L(r)(E,1)/r! |
Ω |
0.2344288416109 |
Real period |
R |
3.5757756164402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9583c2 2331g2 |
Quadratic twists by: -3 37 |