Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520bf |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5164819200 = -1 · 28 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-996192,382703724] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:24138:1] [573:135:1] |
Generators of the group modulo torsion |
j |
-21698094866890752/1025 |
j-invariant |
L |
8.1504461398754 |
L(r)(E,1)/r! |
Ω |
0.73797146723588 |
Real period |
R |
1.3805489950723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7380d2 118080dh2 29520w1 |
Quadratic twists by: -4 8 -3 |