Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200dy |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1330000 = 24 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,38] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
409600/133 |
j-invariant |
L |
6.585082234718 |
L(r)(E,1)/r! |
Ω |
2.5029905042975 |
Real period |
R |
0.87696194124946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300p1 53200bw1 |
Quadratic twists by: -4 5 |