Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cz |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.7041469397072E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1063279,6266647191] |
[a1,a2,a3,a4,a6] |
Generators |
[106016784:17019870873:4096] |
Generators of the group modulo torsion |
j |
898045580910239/115117148363070 |
j-invariant |
L |
11.946137705412 |
L(r)(E,1)/r! |
Ω |
0.094799106601308 |
Real period |
R |
15.751912244599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000137317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bh6 |
Quadratic twists by: -23 |