Atkin-Lehner |
2- 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128j |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.6777260522428E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32611899,71410946870] |
[a1,a2,a3,a4,a6] |
Generators |
[21490:451915:8] |
Generators of the group modulo torsion |
j |
2569179792039643852274/11237341206401883 |
j-invariant |
L |
6.190643888412 |
L(r)(E,1)/r! |
Ω |
0.12407524637989 |
Real period |
R |
4.1578558595318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376a2 |
Quadratic twists by: -3 |