Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870n |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35834906250 = 2 · 36 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-990,8050] |
[a1,a2,a3,a4,a6] |
j |
147281603041/49156250 |
j-invariant |
L |
2.1353271738895 |
L(r)(E,1)/r! |
Ω |
1.0676635869448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dl2 1430i2 64350em2 |
Quadratic twists by: -4 -3 5 |