Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870q |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2040663171690 = 2 · 310 · 5 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58365,5441395] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:3269:1] [53:1553:1] |
Generators of the group modulo torsion |
j |
30161840495801041/2799263610 |
j-invariant |
L |
4.4213815970489 |
L(r)(E,1)/r! |
Ω |
0.79159292245694 |
Real period |
R |
0.69817791942327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dk4 4290v3 64350ek4 |
Quadratic twists by: -4 -3 5 |