Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87856s |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.8136797196068E+20 |
Discriminant |
Eigenvalues |
2- 2 -2 0 -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1400976,111176384] |
[a1,a2,a3,a4,a6] |
Generators |
[8006175630:565329873178:21717639] |
Generators of the group modulo torsion |
j |
3075827761007/1834455244 |
j-invariant |
L |
7.8437220726571 |
L(r)(E,1)/r! |
Ω |
0.11001762019504 |
Real period |
R |
17.823785982923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10982e2 5168i2 |
Quadratic twists by: -4 17 |