Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770i |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
19381761930960 = 24 · 33 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11+ 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17072,-839184] |
[a1,a2,a3,a4,a6] |
j |
674636521/23760 |
j-invariant |
L |
0.83713217640321 |
L(r)(E,1)/r! |
Ω |
0.41856608835237 |
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 |
55770bu1 |
Quadratic twists by: 13 |