Atkin-Lehner |
3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525g |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-18029935546875 = -1 · 39 · 59 · 7 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -1 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3375,-189844] |
[a1,a2,a3,a4,a6] |
Generators |
[450:3371:8] |
Generators of the group modulo torsion |
j |
110592/469 |
j-invariant |
L |
2.744552672787 |
L(r)(E,1)/r! |
Ω |
0.34909446814413 |
Real period |
R |
1.9654799264212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105525e1 105525a1 |
Quadratic twists by: -3 5 |