Atkin-Lehner |
2+ 3- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bh |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1631232 |
Modular degree for the optimal curve |
Δ |
689940102358584 = 23 · 318 · 73 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2551626,-1568183652] |
[a1,a2,a3,a4,a6] |
Generators |
[-472248:242361:512] |
Generators of the group modulo torsion |
j |
2520271543906294317217/946419893496 |
j-invariant |
L |
4.0488013416999 |
L(r)(E,1)/r! |
Ω |
0.11945251604576 |
Real period |
R |
5.6491084967743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27258bj1 |
Quadratic twists by: -3 |