Atkin-Lehner |
2- 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96900j |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1506988800 = -1 · 28 · 36 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-493,4777] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:47:1] [16:27:1] |
Generators of the group modulo torsion |
j |
-2074746880/235467 |
j-invariant |
L |
9.0718239283984 |
L(r)(E,1)/r! |
Ω |
1.4678879207682 |
Real period |
R |
3.090094209391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900bn1 |
Quadratic twists by: 5 |