Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gm |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
3.1405624665875E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31903313,-69356252883] |
[a1,a2,a3,a4,a6] |
Generators |
[-3254:3805:1] |
Generators of the group modulo torsion |
j |
1953542217204454969/170843779260 |
j-invariant |
L |
12.443278781905 |
L(r)(E,1)/r! |
Ω |
0.063524738709827 |
Real period |
R |
2.448510421637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170p3 11550bu4 |
Quadratic twists by: 5 -7 |