Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69264z |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1462323983809E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2162091,876947866] |
[a1,a2,a3,a4,a6] |
j |
374333024086048873/105366686438403 |
j-invariant |
L |
1.2812116742012 |
L(r)(E,1)/r! |
Ω |
0.16015145929016 |
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 |
4329f2 23088t2 |
Quadratic twists by: -4 -3 |