Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560cd |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
221890816000000 = 214 · 56 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15868,279792] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:528:1] |
Generators of the group modulo torsion |
j |
26969341851216/13543140625 |
j-invariant |
L |
3.8328376830965 |
L(r)(E,1)/r! |
Ω |
0.49541663494184 |
Real period |
R |
3.8682973206361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42560m2 10640d2 |
Quadratic twists by: -4 8 |