Atkin-Lehner |
7- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
103733f |
Isogeny class |
Conductor |
103733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
310464 |
Modular degree for the optimal curve |
Δ |
455248934895251 = 79 · 29 · 733 |
Discriminant |
Eigenvalues |
1 -2 -1 7- 0 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51329,4352373] |
[a1,a2,a3,a4,a6] |
Generators |
[718:5125:8] |
Generators of the group modulo torsion |
j |
370610397487/11281493 |
j-invariant |
L |
3.5704064312035 |
L(r)(E,1)/r! |
Ω |
0.52480242864543 |
Real period |
R |
3.4016672334234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999443063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103733h1 |
Quadratic twists by: -7 |