Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bf |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-2.5047396884819E+20 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3590785,-2726230452] |
[a1,a2,a3,a4,a6] |
j |
-43521494458218840064/2128993606815075 |
j-invariant |
L |
0.6561701522341 |
L(r)(E,1)/r! |
Ω |
0.054680847039028 |
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 |
15015m1 |
Quadratic twists by: -7 |