Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039t |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-7535144476072664451 = -1 · 310 · 75 · 112 · 137 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5540045,5018901008] |
[a1,a2,a3,a4,a6] |
Generators |
[1486:8365:1] |
Generators of the group modulo torsion |
j |
-3895861901277528064/1561102682139 |
j-invariant |
L |
5.4418979161294 |
L(r)(E,1)/r! |
Ω |
0.23069778643092 |
Real period |
R |
0.29486075702763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117l1 3003h1 |
Quadratic twists by: -3 13 |