Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680bg |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-774730997476423680 = -1 · 211 · 3 · 5 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207776,55946220] |
[a1,a2,a3,a4,a6] |
Generators |
[229:4508:1] |
Generators of the group modulo torsion |
j |
-4117122162722/3215383215 |
j-invariant |
L |
4.4528554554156 |
L(r)(E,1)/r! |
Ω |
0.26044964024691 |
Real period |
R |
4.2742000439558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000002238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ca5 1320m6 |
Quadratic twists by: -4 -7 |