Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bn |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4855200000 = -1 · 28 · 3 · 55 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 -3 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-720,7857] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:101:1] |
Generators of the group modulo torsion |
j |
-142843688929/16800000 |
j-invariant |
L |
8.8171114698423 |
L(r)(E,1)/r! |
Ω |
1.3303997871563 |
Real period |
R |
0.16568537433415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690by1 |
Quadratic twists by: 17 |