Atkin-Lehner |
2+ 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9758c |
Isogeny class |
Conductor |
9758 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-13387976 = -1 · 23 · 74 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 5 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[78:153:8] |
Generators of the group modulo torsion |
j |
-594823321/13387976 |
j-invariant |
L |
3.9988801632699 |
L(r)(E,1)/r! |
Ω |
0.967144226389 |
Real period |
R |
2.067364956621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78064g1 87822bj1 68306o1 |
Quadratic twists by: -4 -3 -7 |