Atkin-Lehner |
2+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
80752b |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-152006272768 = -1 · 28 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1225,8918] |
[a1,a2,a3,a4,a6] |
j |
6750000/5047 |
j-invariant |
L |
1.3127710953399 |
L(r)(E,1)/r! |
Ω |
0.65638553415783 |
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 |
40376b1 11536b1 |
Quadratic twists by: -4 -7 |