Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907d |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-6133021944291 = -1 · 32 · 119 · 172 |
Discriminant |
Eigenvalues |
2 3+ -3 4 11+ 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7542,-276343] |
[a1,a2,a3,a4,a6] |
Generators |
[890:3989:8] |
Generators of the group modulo torsion |
j |
-69632/9 |
j-invariant |
L |
11.711815384505 |
L(r)(E,1)/r! |
Ω |
0.25431447590719 |
Real period |
R |
2.878280759304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999929803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104907f1 104907w1 |
Quadratic twists by: -11 17 |