Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
64158bf |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5500691675555904 = 26 · 32 · 178 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-87284,9225461] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1057:1] |
Generators of the group modulo torsion |
j |
3046733141473/227889216 |
j-invariant |
L |
5.2060732982447 |
L(r)(E,1)/r! |
Ω |
0.41938064936985 |
Real period |
R |
2.0689530723493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000498 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3774r2 |
Quadratic twists by: 17 |