Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ba |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.2413857176E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196149345,-911351558943] |
[a1,a2,a3,a4,a6] |
Generators |
[-586684:21828625:64] |
Generators of the group modulo torsion |
j |
3183789741641358436216729/473551070251464843750 |
j-invariant |
L |
6.4996530614334 |
L(r)(E,1)/r! |
Ω |
0.040743264976033 |
Real period |
R |
4.9852203672412 |
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 |
127680gi4 3990j3 |
Quadratic twists by: -4 8 |