Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3318g |
Isogeny class |
Conductor |
3318 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
62431488 = 28 · 32 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-549,-4976] |
[a1,a2,a3,a4,a6] |
j |
18251690409289/62431488 |
j-invariant |
L |
2.9601372887615 |
L(r)(E,1)/r! |
Ω |
0.98671242958716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26544j1 106176m1 9954l1 82950bs1 |
Quadratic twists by: -4 8 -3 5 |