Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870r |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13416588900 = 22 · 38 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-594,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:77:1] |
Generators of the group modulo torsion |
j |
31824875809/18404100 |
j-invariant |
L |
3.7630531948885 |
L(r)(E,1)/r! |
Ω |
1.058481911114 |
Real period |
R |
0.88878542830462 |
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 |
102960ek2 4290z2 64350ds2 |
Quadratic twists by: -4 -3 5 |