Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870k |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14961321279590400 = 212 · 310 · 52 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-209880,36590400] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:8250:1] |
Generators of the group modulo torsion |
j |
1402524686897642881/20523074457600 |
j-invariant |
L |
3.1674293579487 |
L(r)(E,1)/r! |
Ω |
0.39515284454203 |
Real period |
R |
2.0039267094355 |
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 |
102960dt2 4290bc2 64350dj2 |
Quadratic twists by: -4 -3 5 |