Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870bl |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
-1544400000 = -1 · 27 · 33 · 55 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1322,18921] |
[a1,a2,a3,a4,a6] |
Generators |
[11:69:1] |
Generators of the group modulo torsion |
j |
-9456845543523/57200000 |
j-invariant |
L |
6.5859089604477 |
L(r)(E,1)/r! |
Ω |
1.5142284229751 |
Real period |
R |
0.062133567362201 |
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 |
102960cl1 12870a1 64350k1 |
Quadratic twists by: -4 -3 5 |