Atkin-Lehner |
7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
203b |
Isogeny class |
Conductor |
203 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8 |
Modular degree for the optimal curve |
Δ |
-1421 = -1 · 72 · 29 |
Discriminant |
Eigenvalues |
-1 -1 1 7- -5 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
-1/1421 |
j-invariant |
L |
0.91309683113931 |
L(r)(E,1)/r! |
Ω |
2.1960815500483 |
Real period |
R |
0.20789228685957 |
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 |
3248j1 12992m1 1827a1 5075g1 |
Quadratic twists by: -4 8 -3 5 |