Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
530d |
Isogeny class |
Conductor |
530 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-84800 = -1 · 26 · 52 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -4 -3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9,13] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
2.2262282009992 |
L(r)(E,1)/r! |
Ω |
2.2585592113132 |
Real period |
R |
0.082140426436758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4240c1 16960d1 4770n1 2650a1 |
Quadratic twists by: -4 8 -3 5 |