Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39208h |
Isogeny class |
Conductor |
39208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
29562832 = 24 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 -2 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130,-507] |
[a1,a2,a3,a4,a6] |
Generators |
[26:117:1] |
Generators of the group modulo torsion |
j |
6912000/841 |
j-invariant |
L |
5.2734478866621 |
L(r)(E,1)/r! |
Ω |
1.4251522324849 |
Real period |
R |
1.8501349422386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78416f1 39208b1 |
Quadratic twists by: -4 13 |