Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350dc |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-291129656501250000 = -1 · 24 · 32 · 57 · 78 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-240688,-52361008] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:34594:1] |
Generators of the group modulo torsion |
j |
-98688628466197561/18632298016080 |
j-invariant |
L |
12.9066255879 |
L(r)(E,1)/r! |
Ω |
0.10668095268717 |
Real period |
R |
0.94518290159725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070a2 |
Quadratic twists by: 5 |