Atkin-Lehner |
7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1421i |
Isogeny class |
Conductor |
1421 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-1170254603 = -1 · 79 · 29 |
Discriminant |
Eigenvalues |
-2 -1 -2 7- 0 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-114,-1674] |
[a1,a2,a3,a4,a6] |
Generators |
[33:171:1] |
Generators of the group modulo torsion |
j |
-4096/29 |
j-invariant |
L |
1.0342746517964 |
L(r)(E,1)/r! |
Ω |
0.64740790343971 |
Real period |
R |
0.79878129870001 |
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 |
22736bh1 90944r1 12789j1 35525m1 |
Quadratic twists by: -4 8 -3 5 |