Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
67424f |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-888425011712 = -1 · 29 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 1 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,82888] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2744:1] |
Generators of the group modulo torsion |
j |
-57512456/14749 |
j-invariant |
L |
6.5981104381989 |
L(r)(E,1)/r! |
Ω |
0.84391713311773 |
Real period |
R |
1.9546085093986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67424l1 9632b1 |
Quadratic twists by: -4 -7 |