Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034b |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
1.4284970016552E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13440419,-18962513907] |
[a1,a2,a3,a4,a6] |
j |
42476766863084497/22597926912 |
j-invariant |
L |
1.4193267161794 |
L(r)(E,1)/r! |
Ω |
0.078851546598444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2838e1 |
Quadratic twists by: -43 |