Atkin-Lehner |
2+ 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158a |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-34537066463232 = -1 · 218 · 32 · 172 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-320,282624] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1472:1] |
Generators of the group modulo torsion |
j |
-12600699625/119505420288 |
j-invariant |
L |
3.1562313798135 |
L(r)(E,1)/r! |
Ω |
0.52318846446066 |
Real period |
R |
1.5081713347994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64158y2 |
Quadratic twists by: 17 |