Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cq |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
214502400000000 = 216 · 32 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-715841,232876959] |
[a1,a2,a3,a4,a6] |
Generators |
[490:63:1] [505:648:1] |
Generators of the group modulo torsion |
j |
619004912314743364/3273046875 |
j-invariant |
L |
13.484771345781 |
L(r)(E,1)/r! |
Ω |
0.49784097811142 |
Real period |
R |
6.7716258473524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dh4 15960m4 |
Quadratic twists by: -4 8 |