Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405d |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-19875423821435 = -1 · 5 · 77 · 136 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11041,-491723] |
[a1,a2,a3,a4,a6] |
j |
-262144/35 |
j-invariant |
L |
0.46230289577354 |
L(r)(E,1)/r! |
Ω |
0.23115144789379 |
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 |
5915f1 245c1 |
Quadratic twists by: -7 13 |