Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802z |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-759686071850496 = -1 · 29 · 37 · 72 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33399,-2689443] |
[a1,a2,a3,a4,a6] |
j |
-115347399927361/21267211776 |
j-invariant |
L |
2.7972431618355 |
L(r)(E,1)/r! |
Ω |
0.17482769755463 |
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 |
17934bc1 53802l1 |
Quadratic twists by: -3 -7 |