Atkin-Lehner |
3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195m |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-417882391875 = -1 · 310 · 54 · 132 · 67 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 2 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,537,-30731] |
[a1,a2,a3,a4,a6] |
j |
23491948544/573226875 |
j-invariant |
L |
3.6589321674896 |
L(r)(E,1)/r! |
Ω |
0.4573665209311 |
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 |
13065k1 |
Quadratic twists by: -3 |