Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bn |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-48991800998437500 = -1 · 22 · 3 · 58 · 710 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,84769,4848353] |
[a1,a2,a3,a4,a6] |
j |
572593391788319/416423437500 |
j-invariant |
L |
3.6360070740507 |
L(r)(E,1)/r! |
Ω |
0.22725044205367 |
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 |
7770bb4 |
Quadratic twists by: -7 |