Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304n |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4437124396654E+19 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30576408,-65066595124] |
[a1,a2,a3,a4,a6] |
Generators |
[41571144879056:89349600935256585:8998912] |
Generators of the group modulo torsion |
j |
13120939360620031250/59918717089 |
j-invariant |
L |
9.5430377081487 |
L(r)(E,1)/r! |
Ω |
0.064202665094243 |
Real period |
R |
18.579909598096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10472b2 |
Quadratic twists by: -7 |