Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342bb |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-49368 = -1 · 23 · 3 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14198,649980] |
[a1,a2,a3,a4,a6] |
j |
-2615903802147625/408 |
j-invariant |
L |
6.1580865008296 |
L(r)(E,1)/r! |
Ω |
2.0526955002765 |
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 |
98736bs2 37026r2 12342p2 |
Quadratic twists by: -4 -3 -11 |