Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240co |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-268272000000 = -1 · 210 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6732,-214056] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1115:1] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
6.0913323021189 |
L(r)(E,1)/r! |
Ω |
0.26340704346621 |
Real period |
R |
3.8541947739047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240fx1 8280u1 7360f1 |
Quadratic twists by: -4 8 -3 |