Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176f |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-805627249961683968 = -1 · 210 · 39 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41067,43302870] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:6760:1] |
Generators of the group modulo torsion |
j |
-78732/8281 |
j-invariant |
L |
5.0781531789969 |
L(r)(E,1)/r! |
Ω |
0.23224229987689 |
Real period |
R |
2.7332193497049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176bj2 6552r2 |
Quadratic twists by: -3 13 |