Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470ba |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-312892253470720 = -1 · 216 · 5 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3532,855759] |
[a1,a2,a3,a4,a6] |
j |
-2749884201/176619520 |
j-invariant |
L |
3.5957867446109 |
L(r)(E,1)/r! |
Ω |
0.44947334307636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67760cg1 76230y1 42350u1 59290cv1 |
Quadratic twists by: -4 -3 5 -7 |