Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3312b |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
103016448 = 211 · 37 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26499,1660322] |
[a1,a2,a3,a4,a6] |
j |
1378334691074/69 |
j-invariant |
L |
2.8249875775606 |
L(r)(E,1)/r! |
Ω |
1.4124937887803 |
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 |
1656c3 13248bh4 1104a3 82800bq4 |
Quadratic twists by: -4 8 -3 5 |