Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320x |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-156917250000000000 = -1 · 210 · 37 · 512 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118437,10821638] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1116:1] |
Generators of the group modulo torsion |
j |
246126525996956/210205078125 |
j-invariant |
L |
6.3830945520623 |
L(r)(E,1)/r! |
Ω |
0.21028117298766 |
Real period |
R |
3.7943806758319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999986571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440e3 |
Quadratic twists by: -3 |