Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570s |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-773834342400 = -1 · 216 · 34 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2269,-6847] |
[a1,a2,a3,a4,a6] |
Generators |
[11:134:1] |
Generators of the group modulo torsion |
j |
1291859362462031/773834342400 |
j-invariant |
L |
4.2528332597144 |
L(r)(E,1)/r! |
Ω |
0.52287987139262 |
Real period |
R |
0.16944751128924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560df1 114240eo1 10710n1 17850r1 |
Quadratic twists by: -4 8 -3 5 |