Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870ba |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
27868450587120 = 24 · 38 · 5 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41004,-3175520] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:119:1] |
Generators of the group modulo torsion |
j |
10458774902616769/38228327280 |
j-invariant |
L |
3.5714366478658 |
L(r)(E,1)/r! |
Ω |
0.33557373958877 |
Real period |
R |
0.88689812564059 |
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 |
102960ed2 4290q2 64350eg2 |
Quadratic twists by: -4 -3 5 |