Atkin-Lehner |
2- 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cd |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
146290414928490000 = 24 · 36 · 54 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2601950,1614272267] |
[a1,a2,a3,a4,a6] |
j |
16558932000702804049/1243448010000 |
j-invariant |
L |
4.9656907922536 |
L(r)(E,1)/r! |
Ω |
0.31035567857817 |
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 |
12390s2 |
Quadratic twists by: -7 |