Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342d |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9714706759756944 = 24 · 34 · 1110 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2986766,1985530980] |
[a1,a2,a3,a4,a6] |
j |
1663303207415737537/5483698704 |
j-invariant |
L |
0.71393409148968 |
L(r)(E,1)/r! |
Ω |
0.35696704574484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736dc4 37026bi4 1122e3 |
Quadratic twists by: -4 -3 -11 |