Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870x |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
763527832031250000 = 24 · 37 · 516 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-402714,-88828380] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:2337:1] |
Generators of the group modulo torsion |
j |
9908022260084596129/1047363281250000 |
j-invariant |
L |
3.8177889472885 |
L(r)(E,1)/r! |
Ω |
0.1908140044389 |
Real period |
R |
1.2504942176922 |
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 |
102960ea3 4290w4 64350ed3 |
Quadratic twists by: -4 -3 5 |