Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504s |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
385633115136 = 210 · 39 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30699,-2070090] |
[a1,a2,a3,a4,a6] |
j |
158746862124/19133 |
j-invariant |
L |
2.8854371490954 |
L(r)(E,1)/r! |
Ω |
0.36067964895712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72504c2 |
Quadratic twists by: -3 |