Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056n |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-43801236308016 = -1 · 24 · 33 · 119 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11+ -6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3642,-329467] |
[a1,a2,a3,a4,a6] |
j |
-12366869833728/101391750713 |
j-invariant |
L |
1.0814751731026 |
L(r)(E,1)/r! |
Ω |
0.27036879327648 |
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 |
68112b1 34056a1 |
Quadratic twists by: -4 -3 |