Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655r |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10583040 |
Modular degree for the optimal curve |
Δ |
-5.0423866939469E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11- 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-170825538,-859364981537] |
[a1,a2,a3,a4,a6] |
j |
-71312293562908672/65225655 |
j-invariant |
L |
0.41760084173562 |
L(r)(E,1)/r! |
Ω |
0.020880040460451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885l1 83655ba1 |
Quadratic twists by: -3 13 |