Atkin-Lehner |
3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199d |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24853248 |
Modular degree for the optimal curve |
Δ |
-1.7911208465601E+23 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7790936,-18564712212] |
[a1,a2,a3,a4,a6] |
j |
29036351328256/99443033613 |
j-invariant |
L |
0.82654587472813 |
L(r)(E,1)/r! |
Ω |
0.051658956449792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122199j1 |
Quadratic twists by: -23 |