Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872u |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12741120 |
Modular degree for the optimal curve |
Δ |
-8.4320172270413E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 11- 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1987344,-4548341712] |
[a1,a2,a3,a4,a6] |
j |
-478505580437668/4648099514091 |
j-invariant |
L |
1.3300075865341 |
L(r)(E,1)/r! |
Ω |
0.055417015484405 |
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 |
11352n1 |
Quadratic twists by: -11 |