Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bp |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-11317725000000 = -1 · 26 · 39 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5577,22372] |
[a1,a2,a3,a4,a6] |
Generators |
[62244:1946875:64] |
Generators of the group modulo torsion |
j |
411166897856/242578125 |
j-invariant |
L |
5.6467580955943 |
L(r)(E,1)/r! |
Ω |
0.43636897268741 |
Real period |
R |
6.4701645274887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ba1 33120q2 22080bg1 |
Quadratic twists by: -4 8 -3 |