Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802bm |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-387535806 = -1 · 2 · 33 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 6 6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-377,3063] |
[a1,a2,a3,a4,a6] |
j |
-1860867/122 |
j-invariant |
L |
6.6525916757528 |
L(r)(E,1)/r! |
Ω |
1.6631479191067 |
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 |
53802g1 1098g1 |
Quadratic twists by: -3 -7 |