Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cv |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-160093633270950000 = -1 · 24 · 33 · 55 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273490,58410475] |
[a1,a2,a3,a4,a6] |
Generators |
[2505:122825:1] |
Generators of the group modulo torsion |
j |
-1192310528/84375 |
j-invariant |
L |
5.3032417160932 |
L(r)(E,1)/r! |
Ω |
0.31789630720867 |
Real period |
R |
1.6682300471795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340q1 69360de1 |
Quadratic twists by: -4 17 |