Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200do |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
378963360000000000 = 214 · 38 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282033,-49553937] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:2400:1] |
Generators of the group modulo torsion |
j |
9691367618896/1480325625 |
j-invariant |
L |
7.030705629665 |
L(r)(E,1)/r! |
Ω |
0.20929429295395 |
Real period |
R |
2.0995273952021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003136 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91200fa2 11400a2 18240f2 |
Quadratic twists by: -4 8 5 |