Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144y |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-109296 = -1 · 24 · 33 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10,-17] |
[a1,a2,a3,a4,a6] |
j |
-7626496/6831 |
j-invariant |
L |
1.2836075479195 |
L(r)(E,1)/r! |
Ω |
1.2836075479195 |
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 |
3036f1 48576da1 36432bi1 |
Quadratic twists by: -4 8 -3 |