Atkin-Lehner |
2- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36040b |
Isogeny class |
Conductor |
36040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
30561920000 = 210 · 54 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3683,-85618] |
[a1,a2,a3,a4,a6] |
Generators |
[4898:120575:8] |
Generators of the group modulo torsion |
j |
5395465402596/29845625 |
j-invariant |
L |
5.2286243466435 |
L(r)(E,1)/r! |
Ω |
0.61304700249502 |
Real period |
R |
4.2644563348024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080a1 |
Quadratic twists by: -4 |