Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702o |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-2120431812794932 = -1 · 22 · 74 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 1 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16433,2352355] |
[a1,a2,a3,a4,a6] |
j |
-28896625/124852 |
j-invariant |
L |
4.8461491644839 |
L(r)(E,1)/r! |
Ω |
0.40384576497495 |
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 |
65702f1 |
Quadratic twists by: -19 |