Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fl |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-130638955507200000 = -1 · 212 · 36 · 55 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62448,-16319504] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1251:1] |
Generators of the group modulo torsion |
j |
9019694698496/43750721875 |
j-invariant |
L |
8.1131210432835 |
L(r)(E,1)/r! |
Ω |
0.16570734588762 |
Real period |
R |
4.8960539439037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5355t1 9520f1 |
Quadratic twists by: -4 -3 |