Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944bg |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-10699470656 = -1 · 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3 -3 7- -3 -1 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,23324] |
[a1,a2,a3,a4,a6] |
j |
-51478848/1421 |
j-invariant |
L |
2.5560892568514 |
L(r)(E,1)/r! |
Ω |
1.2780448156476 |
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 |
90944bi1 45472v1 12992e1 |
Quadratic twists by: -4 8 -7 |