Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345w |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-80785426246875 = -1 · 32 · 55 · 7 · 177 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 2 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10211,583745] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2167:1] |
Generators of the group modulo torsion |
j |
-4878401536/3346875 |
j-invariant |
L |
5.695561331357 |
L(r)(E,1)/r! |
Ω |
0.56158699913293 |
Real period |
R |
1.2677379774084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035bo1 1785f1 |
Quadratic twists by: -3 17 |