Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342ba |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
72695535691842 = 2 · 38 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44330,-3557865] |
[a1,a2,a3,a4,a6] |
j |
112329015625/847602 |
j-invariant |
L |
5.2667589194586 |
L(r)(E,1)/r! |
Ω |
0.32917243246621 |
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 |
9114b2 3906p2 |
Quadratic twists by: -3 -7 |