Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3108a |
Isogeny class |
Conductor |
3108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-815298537763584 = -1 · 28 · 38 · 7 · 375 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14341,1529329] |
[a1,a2,a3,a4,a6] |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
0.88846277125687 |
L(r)(E,1)/r! |
Ω |
0.44423138562844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12432bu1 49728bs1 9324b1 77700y1 |
Quadratic twists by: -4 8 -3 5 |