Atkin-Lehner |
2- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680bd |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-188953600000 = -1 · 213 · 55 · 112 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11+ 5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59400,5552500] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-110:1] [-42:2824:1] |
Generators of the group modulo torsion |
j |
-5658879034254601/46131250 |
j-invariant |
L |
7.3586176107698 |
L(r)(E,1)/r! |
Ω |
0.90650186314277 |
Real period |
R |
0.20293994722906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710e1 |
Quadratic twists by: -4 |