Atkin-Lehner |
3- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195p |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.9991357815523E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-678902,-8823396] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:7131:1] |
Generators of the group modulo torsion |
j |
47469739486993135129/27422987401265625 |
j-invariant |
L |
3.8253226439009 |
L(r)(E,1)/r! |
Ω |
0.18170735488346 |
Real period |
R |
3.5086844690054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13065a2 |
Quadratic twists by: -3 |