Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984cg |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.286101049656E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2269839,1304899090] |
[a1,a2,a3,a4,a6] |
Generators |
[785:2610:1] |
Generators of the group modulo torsion |
j |
3911877700432/38900169 |
j-invariant |
L |
8.008201940534 |
L(r)(E,1)/r! |
Ω |
0.22547474449687 |
Real period |
R |
4.4396335599239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998319 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121968bj2 20328m2 5544g2 |
Quadratic twists by: -4 -3 -11 |