Atkin-Lehner |
5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52675o |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1976135546875 = -1 · 58 · 76 · 43 |
Discriminant |
Eigenvalues |
1 2 5- 7- 3 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3700,108375] |
[a1,a2,a3,a4,a6] |
Generators |
[6:291:1] |
Generators of the group modulo torsion |
j |
-121945/43 |
j-invariant |
L |
10.592247633245 |
L(r)(E,1)/r! |
Ω |
0.78185904049016 |
Real period |
R |
2.2579192848287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52675h1 1075g1 |
Quadratic twists by: 5 -7 |