Atkin-Lehner |
2- 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990bv |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
78138322928640 = 210 · 312 · 5 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13397,422061] |
[a1,a2,a3,a4,a6] |
j |
364744258531849/107185628160 |
j-invariant |
L |
5.6731453263917 |
L(r)(E,1)/r! |
Ω |
0.56731453259882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330b1 |
Quadratic twists by: -3 |