Atkin-Lehner |
2+ 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256be |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23482755459072 = 211 · 32 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85664,9619092] |
[a1,a2,a3,a4,a6] |
Generators |
[172:54:1] [196:630:1] |
Generators of the group modulo torsion |
j |
33946412017557314/11466189189 |
j-invariant |
L |
11.334394486847 |
L(r)(E,1)/r! |
Ω |
0.66181010552457 |
Real period |
R |
8.5631772559729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128y4 |
Quadratic twists by: -4 |