Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bb |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-3.2810591767946E+21 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -1 -2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-457023,-2758475372] |
[a1,a2,a3,a4,a6] |
j |
-123089813622784/38255888671875 |
j-invariant |
L |
1.0130382578099 |
L(r)(E,1)/r! |
Ω |
0.06331489666988 |
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 |
34545m1 14805m1 |
Quadratic twists by: -3 -7 |