Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-826539500160000 = -1 · 210 · 36 · 54 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14157,1221858] |
[a1,a2,a3,a4,a6] |
Generators |
[418:8954:1] |
Generators of the group modulo torsion |
j |
237276/625 |
j-invariant |
L |
5.3771586371427 |
L(r)(E,1)/r! |
Ω |
0.35144639273716 |
Real period |
R |
3.8250205069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560q3 9680h4 720d4 |
Quadratic twists by: -4 -3 -11 |