Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ba |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.0963889270374E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188528865,-996269615775] |
[a1,a2,a3,a4,a6] |
Generators |
[56544705:15482055680:729] |
Generators of the group modulo torsion |
j |
2826944949483509435147449/79970891076562500 |
j-invariant |
L |
6.4996530614334 |
L(r)(E,1)/r! |
Ω |
0.040743264976033 |
Real period |
R |
9.9704407344824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000186268 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680gi2 3990j2 |
Quadratic twists by: -4 8 |