Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cy |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-980000000 = -1 · 28 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,-1750] |
[a1,a2,a3,a4,a6] |
Generators |
[570:1700:27] |
Generators of the group modulo torsion |
j |
-3024/5 |
j-invariant |
L |
8.917353156694 |
L(r)(E,1)/r! |
Ω |
0.6209611962029 |
Real period |
R |
3.590141063251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900o1 78400jd1 3920bl1 19600bz1 |
Quadratic twists by: -4 8 5 -7 |