Atkin-Lehner |
3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825o |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
272778276796875 = 34 · 57 · 23 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1242713,-533320458] |
[a1,a2,a3,a4,a6] |
j |
13583642167471798729/17457809715 |
j-invariant |
L |
2.2878463770784 |
L(r)(E,1)/r! |
Ω |
0.14299039832681 |
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 |
12765a3 |
Quadratic twists by: 5 |