Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bk |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-252210043750000 = -1 · 24 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 3 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14292,384287] |
[a1,a2,a3,a4,a6] |
Generators |
[14709:351575:27] |
Generators of the group modulo torsion |
j |
1280 |
j-invariant |
L |
7.5763121318254 |
L(r)(E,1)/r! |
Ω |
0.35583032789152 |
Real period |
R |
3.5486539219965 |
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 |
9800s1 78400ky1 19600y1 19600bn1 |
Quadratic twists by: -4 8 5 -7 |