Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448bg |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-8779327451136 = -1 · 212 · 36 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11+ 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5136,15856] |
[a1,a2,a3,a4,a6] |
j |
5017776128/2940179 |
j-invariant |
L |
0.88817306267841 |
L(r)(E,1)/r! |
Ω |
0.44408653656563 |
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 |
4653c1 8272m1 |
Quadratic twists by: -4 -3 |