Atkin-Lehner |
3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80613b |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.5587159804516E+23 |
Discriminant |
Eigenvalues |
0 3+ 0 -1 -6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-62284950,191365333292] |
[a1,a2,a3,a4,a6] |
Generators |
[662480:12580044:125] |
Generators of the group modulo torsion |
j |
-1664312832000000/22164361129 |
j-invariant |
L |
2.4578357526767 |
L(r)(E,1)/r! |
Ω |
0.096028832472504 |
Real period |
R |
2.1328973914803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80613e1 80613a2 |
Quadratic twists by: -3 13 |