Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
85305o |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4376064 |
Modular degree for the optimal curve |
Δ |
-5.7190211772224E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 11- -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15033201,22432900430] |
[a1,a2,a3,a4,a6] |
Generators |
[2034:16567:1] |
Generators of the group modulo torsion |
j |
-1752817305444941824/266796558675 |
j-invariant |
L |
6.6014095640568 |
L(r)(E,1)/r! |
Ω |
0.19155805318853 |
Real period |
R |
1.2307737688589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85305p1 |
Quadratic twists by: -11 |