Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960bq |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-2139439816550419200 = -1 · 28 · 39 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,185193,-63336006] |
[a1,a2,a3,a4,a6] |
Generators |
[1773:76410:1] |
Generators of the group modulo torsion |
j |
8208/25 |
j-invariant |
L |
9.1902523713425 |
L(r)(E,1)/r! |
Ω |
0.13345157246388 |
Real period |
R |
4.3041138915722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129960b1 129960i1 |
Quadratic twists by: -3 -19 |