Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bj |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-396836665344 = -1 · 211 · 33 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1534,-19967] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-313:1] |
Generators of the group modulo torsion |
j |
125751501/124928 |
j-invariant |
L |
11.92659096234 |
L(r)(E,1)/r! |
Ω |
0.51623222721711 |
Real period |
R |
0.52507160772913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802d1 1098h1 |
Quadratic twists by: -3 -7 |