Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768f |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1208176257024 = -1 · 211 · 32 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,248,52780] |
[a1,a2,a3,a4,a6] |
Generators |
[97:990:1] |
Generators of the group modulo torsion |
j |
820344814/589929813 |
j-invariant |
L |
4.60213190871 |
L(r)(E,1)/r! |
Ω |
0.67423489119528 |
Real period |
R |
2.2752367010411 |
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 |
19536k2 78144bb2 29304k2 107448q2 |
Quadratic twists by: -4 8 -3 -11 |