Atkin-Lehner |
3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22743f |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
-2340012299352021 = -1 · 39 · 7 · 198 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- 1 6 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34724,-3400028] |
[a1,a2,a3,a4,a6] |
j |
-13851/7 |
j-invariant |
L |
1.0247071564012 |
L(r)(E,1)/r! |
Ω |
0.17078452606687 |
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 |
22743e1 22743h1 |
Quadratic twists by: -3 -19 |