Atkin-Lehner |
2+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3008a |
Isogeny class |
Conductor |
3008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-49283072 = -1 · 220 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 0 -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-336] |
[a1,a2,a3,a4,a6] |
Generators |
[56:420:1] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
3.268419148609 |
L(r)(E,1)/r! |
Ω |
0.95935616988029 |
Real period |
R |
3.406888131044 |
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 |
3008b1 94a1 27072w1 75200p1 |
Quadratic twists by: -4 8 -3 5 |