Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680be |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4.1015787853806E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2753997,97423307602] |
[a1,a2,a3,a4,a6] |
Generators |
[2159:336798:1] |
Generators of the group modulo torsion |
j |
1547236207661507998/2747220872838320025 |
j-invariant |
L |
6.8488618079988 |
L(r)(E,1)/r! |
Ω |
0.061184663499677 |
Real period |
R |
3.4980486821226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840m5 28560ca5 |
Quadratic twists by: -4 -3 |