Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880i |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3411564149764000000 = 28 · 56 · 318 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4965487,-4257908466] |
[a1,a2,a3,a4,a6] |
Generators |
[1068469822:68337432240:205379] |
Generators of the group modulo torsion |
j |
59593532744016/15015625 |
j-invariant |
L |
4.7307619985635 |
L(r)(E,1)/r! |
Ω |
0.10113830224904 |
Real period |
R |
15.591725693032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002929 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38440k2 2480e2 |
Quadratic twists by: -4 -31 |