Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700h |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-2985018750000 = -1 · 24 · 33 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2700,99125] |
[a1,a2,a3,a4,a6] |
Generators |
[11:266:1] |
Generators of the group modulo torsion |
j |
-322486272/442225 |
j-invariant |
L |
7.9091219990286 |
L(r)(E,1)/r! |
Ω |
0.72247776336503 |
Real period |
R |
2.7368046490374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700g1 23940a1 |
Quadratic twists by: -3 5 |