Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fa |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
460112796057600 = 218 · 34 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21441,-635841] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:285:1] |
Generators of the group modulo torsion |
j |
4158523459441/1755191025 |
j-invariant |
L |
6.6128459889046 |
L(r)(E,1)/r! |
Ω |
0.40970446026528 |
Real period |
R |
2.0175658919202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046144 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680q2 31920be2 |
Quadratic twists by: -4 8 |