Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270g |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56033721370224900 = 22 · 32 · 52 · 538 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1488829,699005252] |
[a1,a2,a3,a4,a6] |
j |
16466546841121/2528100 |
j-invariant |
L |
0.68256650023743 |
L(r)(E,1)/r! |
Ω |
0.34128323431258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590o2 |
Quadratic twists by: 53 |