Atkin-Lehner |
3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2175h |
Isogeny class |
Conductor |
2175 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-8602294921875 = -1 · 35 · 513 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 1 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1967,-136406] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4687:1] |
Generators of the group modulo torsion |
j |
53838872576/550546875 |
j-invariant |
L |
3.160738279246 |
L(r)(E,1)/r! |
Ω |
0.36201785267525 |
Real period |
R |
0.43654453169764 |
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 |
34800bz1 6525d1 435b1 106575l1 |
Quadratic twists by: -4 -3 5 -7 |