Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342a |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-161285256 = -1 · 23 · 34 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11- -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2,-612] |
[a1,a2,a3,a4,a6] |
j |
-121/11016 |
j-invariant |
L |
1.66146491492 |
L(r)(E,1)/r! |
Ω |
0.83073245746001 |
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 |
98736cx1 37026bh1 12342t1 |
Quadratic twists by: -4 -3 -11 |