Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bj |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12019133325348864 = 212 · 34 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-830584,291584944] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:19656:1] |
Generators of the group modulo torsion |
j |
8732907467857/1656369 |
j-invariant |
L |
4.6235642682678 |
L(r)(E,1)/r! |
Ω |
0.38957317633884 |
Real period |
R |
2.9670704685615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001802 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4719j2 6864r2 |
Quadratic twists by: -4 -11 |