Atkin-Lehner |
2+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81472a |
Isogeny class |
Conductor |
81472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12864 |
Modular degree for the optimal curve |
Δ |
-24767488 = -1 · 210 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64,136] |
[a1,a2,a3,a4,a6] |
Generators |
[34:204:1] |
Generators of the group modulo torsion |
j |
28311552/24187 |
j-invariant |
L |
4.0833340297895 |
L(r)(E,1)/r! |
Ω |
1.3792096258915 |
Real period |
R |
2.9606333616823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81472d1 5092a1 |
Quadratic twists by: -4 8 |