Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504c |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
528989184 = 210 · 33 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3411,76670] |
[a1,a2,a3,a4,a6] |
j |
158746862124/19133 |
j-invariant |
L |
3.1679920043672 |
L(r)(E,1)/r! |
Ω |
1.5839960013173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72504s2 |
Quadratic twists by: -3 |