Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12920i |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
490960 = 24 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22,21] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
73598976/30685 |
j-invariant |
L |
4.9075800970273 |
L(r)(E,1)/r! |
Ω |
2.6660379372134 |
Real period |
R |
1.8407765427962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25840g1 103360f1 116280j1 64600d1 |
Quadratic twists by: -4 8 -3 5 |