Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66792k |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-36771603215567616 = -1 · 28 · 36 · 113 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1844,9225456] |
[a1,a2,a3,a4,a6] |
Generators |
[316:-6348:1] |
Generators of the group modulo torsion |
j |
-2036216432/107918163081 |
j-invariant |
L |
4.1202171593607 |
L(r)(E,1)/r! |
Ω |
0.2917106930541 |
Real period |
R |
0.39234241104366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66792bi2 |
Quadratic twists by: -11 |