Atkin-Lehner |
3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105co |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
14999040 |
Modular degree for the optimal curve |
Δ |
-8.1601813310622E+23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65299915,-207723218069] |
[a1,a2,a3,a4,a6] |
j |
-261741945752892238495744/6936039686748046875 |
j-invariant |
L |
3.7118483652684 |
L(r)(E,1)/r! |
Ω |
0.026513202425859 |
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 |
15015d1 |
Quadratic twists by: -7 |