Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3318g |
Isogeny class |
Conductor |
3318 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-35243875632 = -1 · 24 · 3 · 76 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-309,-9296] |
[a1,a2,a3,a4,a6] |
j |
-3247709677129/35243875632 |
j-invariant |
L |
2.9601372887615 |
L(r)(E,1)/r! |
Ω |
0.49335621479358 |
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 |
26544j2 106176m2 9954l2 82950bs2 |
Quadratic twists by: -4 8 -3 5 |