Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870r |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-858864971250 = -1 · 2 · 37 · 54 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2376,-1782] |
[a1,a2,a3,a4,a6] |
Generators |
[43:401:1] |
Generators of the group modulo torsion |
j |
2034382787711/1178141250 |
j-invariant |
L |
3.7630531948885 |
L(r)(E,1)/r! |
Ω |
0.52924095555699 |
Real period |
R |
1.7775708566092 |
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 |
102960ek3 4290z4 64350ds3 |
Quadratic twists by: -4 -3 5 |