Atkin-Lehner |
2+ 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870g |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-6.2228107452393E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2074371,-344158065] |
[a1,a2,a3,a4,a6] |
Generators |
[1671:87402:1] |
Generators of the group modulo torsion |
j |
36561089342650869429237/23047447204589843750 |
j-invariant |
L |
3.519594652894 |
L(r)(E,1)/r! |
Ω |
0.093394240453901 |
Real period |
R |
2.6918107245376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102960cp1 12870bg2 64350co1 |
Quadratic twists by: -4 -3 5 |