Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bh |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
34836480 |
Modular degree for the optimal curve |
Δ |
-5.0479854155771E+26 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136651372,-1243662803669] |
[a1,a2,a3,a4,a6] |
j |
-2398708456982766177166009/4290716806413221559375 |
j-invariant |
L |
1.2498492748212 |
L(r)(E,1)/r! |
Ω |
0.020830822061842 |
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 |
15015o1 |
Quadratic twists by: -7 |