Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176k |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-129890304 = -1 · 211 · 37 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -2 4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-502] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
24334/87 |
j-invariant |
L |
4.1865285547603 |
L(r)(E,1)/r! |
Ω |
0.9420784499745 |
Real period |
R |
0.55549096718984 |
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 |
2088l1 16704cs1 1392b1 104400bb1 |
Quadratic twists by: -4 8 -3 5 |