Atkin-Lehner |
2+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87542a |
Isogeny class |
Conductor |
87542 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
422548513478 = 2 · 7 · 138 · 37 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78904526,269794283110] |
[a1,a2,a3,a4,a6] |
j |
11255618047218342027777/87542 |
j-invariant |
L |
0.63521157065414 |
L(r)(E,1)/r! |
Ω |
0.31760578409779 |
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 |
6734c4 |
Quadratic twists by: 13 |