Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10332f |
Isogeny class |
Conductor |
10332 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-160683264 = -1 · 28 · 37 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 -3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,758] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
-810448/861 |
j-invariant |
L |
5.1250824495708 |
L(r)(E,1)/r! |
Ω |
1.6527646204131 |
Real period |
R |
0.51681915120393 |
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 |
41328cd1 3444d1 72324v1 |
Quadratic twists by: -4 -3 -7 |