Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342t |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-285726669404616 = -1 · 23 · 34 · 1110 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-305,813143] |
[a1,a2,a3,a4,a6] |
j |
-121/11016 |
j-invariant |
L |
2.6217643147305 |
L(r)(E,1)/r! |
Ω |
0.43696071912175 |
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 |
98736de1 37026i1 12342a1 |
Quadratic twists by: -4 -3 -11 |