Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810w |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
949067280 = 24 · 34 · 5 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-580,5120] |
[a1,a2,a3,a4,a6] |
j |
21580151584321/949067280 |
j-invariant |
L |
6.2089300669686 |
L(r)(E,1)/r! |
Ω |
1.5522325167421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480bm1 38430n1 64050b1 89670bh1 |
Quadratic twists by: -4 -3 5 -7 |