Atkin-Lehner |
2+ 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870i |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3.8625960508879E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89841,-298861075] |
[a1,a2,a3,a4,a6] |
j |
4074304020054813/1962402098708480 |
j-invariant |
L |
1.7253653913119 |
L(r)(E,1)/r! |
Ω |
0.09585363285066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102960ck2 12870bd1 64350cw2 |
Quadratic twists by: -4 -3 5 |