Atkin-Lehner |
7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58667i |
Isogeny class |
Conductor |
58667 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1534464 |
Modular degree for the optimal curve |
Δ |
-58355189642392307 = -1 · 73 · 178 · 293 |
Discriminant |
Eigenvalues |
2 3 2 7- -6 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17629,-11657321] |
[a1,a2,a3,a4,a6] |
Generators |
[75174:1066013:216] |
Generators of the group modulo torsion |
j |
-25102282752/2417608403 |
j-invariant |
L |
23.921213545756 |
L(r)(E,1)/r! |
Ω |
0.15567854588533 |
Real period |
R |
4.2682705587896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451c1 |
Quadratic twists by: 17 |