Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870cd |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
13149598780890000 = 24 · 312 · 54 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-472037,124823949] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:15996:1] |
Generators of the group modulo torsion |
j |
15955978629870426889/18037858410000 |
j-invariant |
L |
6.6835279693128 |
L(r)(E,1)/r! |
Ω |
0.39693834838228 |
Real period |
R |
1.0523561147077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960ev2 4290e2 64350ba2 |
Quadratic twists by: -4 -3 5 |