Atkin-Lehner |
3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333l |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-40124013425826057 = -1 · 310 · 72 · 138 · 17 |
Discriminant |
Eigenvalues |
1 3- 4 7+ 4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62534,11357309] |
[a1,a2,a3,a4,a6] |
Generators |
[417:7396:1] |
Generators of the group modulo torsion |
j |
-5602762882081/8312741073 |
j-invariant |
L |
12.631495525335 |
L(r)(E,1)/r! |
Ω |
0.32634613777928 |
Real period |
R |
1.9352911009137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641g2 |
Quadratic twists by: 13 |