Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488a |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1499724007682899968 = -1 · 215 · 38 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-518273,-155054751] |
[a1,a2,a3,a4,a6] |
Generators |
[1185631265:-40733047692:753571] |
Generators of the group modulo torsion |
j |
-19465109000/1896129 |
j-invariant |
L |
4.8591794895695 |
L(r)(E,1)/r! |
Ω |
0.088477930372236 |
Real period |
R |
13.729919623079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488bb2 27744h2 3264k2 |
Quadratic twists by: -4 8 17 |