Atkin-Lehner |
2- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
53300n |
Isogeny class |
Conductor |
53300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
568178000 = 24 · 53 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213,422] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:39:1] |
Generators of the group modulo torsion |
j |
536870912/284089 |
j-invariant |
L |
10.20489081137 |
L(r)(E,1)/r! |
Ω |
1.4353740705918 |
Real period |
R |
1.1849281452544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53300l1 |
Quadratic twists by: 5 |