Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240h |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
317952000 = 212 · 33 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11508,475168] |
[a1,a2,a3,a4,a6] |
Generators |
[66:56:1] |
Generators of the group modulo torsion |
j |
1524051208512/2875 |
j-invariant |
L |
5.0659007240295 |
L(r)(E,1)/r! |
Ω |
1.473733967752 |
Real period |
R |
1.7187297146566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240l1 33120ba1 66240z1 |
Quadratic twists by: -4 8 -3 |