Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800cb |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-1699200000000 = -1 · 213 · 32 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 -2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1792,54912] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:66:1] [-8:200:1] |
Generators of the group modulo torsion |
j |
397535/1062 |
j-invariant |
L |
8.455219404945 |
L(r)(E,1)/r! |
Ω |
0.58893212756766 |
Real period |
R |
0.59820273346609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850bf1 70800cr1 |
Quadratic twists by: -4 5 |