Atkin-Lehner |
3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53391d |
Isogeny class |
Conductor |
53391 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-8565152573891341467 = -1 · 35 · 135 · 377 |
Discriminant |
Eigenvalues |
0 3+ 0 4 3 13- -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-456333,184284677] |
[a1,a2,a3,a4,a6] |
j |
-4096000000000/3338295363 |
j-invariant |
L |
2.1288290893845 |
L(r)(E,1)/r! |
Ω |
0.21288290881491 |
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 |
1443a1 |
Quadratic twists by: 37 |