Atkin-Lehner |
3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
2175f |
Isogeny class |
Conductor |
2175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4560 |
Modular degree for the optimal curve |
Δ |
-169921875 = -1 · 3 · 59 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 -3 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17458,-882057] |
[a1,a2,a3,a4,a6] |
Generators |
[96803706:659971191:551368] |
Generators of the group modulo torsion |
j |
-301302001664/87 |
j-invariant |
L |
4.9536261677107 |
L(r)(E,1)/r! |
Ω |
0.20766765372556 |
Real period |
R |
11.926812093368 |
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 |
34800dt1 6525m1 2175j1 106575dc1 |
Quadratic twists by: -4 -3 5 -7 |