Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448bc |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-708837717567209472 = -1 · 217 · 321 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,127221,36548282] |
[a1,a2,a3,a4,a6] |
j |
76262783193143/237388317408 |
j-invariant |
L |
1.613611985315 |
L(r)(E,1)/r! |
Ω |
0.20170149991323 |
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 |
9306n1 24816n1 |
Quadratic twists by: -4 -3 |