Atkin-Lehner |
29- 89- |
Signs for the Atkin-Lehner involutions |
Class |
74849g |
Isogeny class |
Conductor |
74849 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181888 |
Modular degree for the optimal curve |
Δ |
-1291135991852341 = -1 · 299 · 89 |
Discriminant |
Eigenvalues |
-1 0 1 1 -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25913,-647452] |
[a1,a2,a3,a4,a6] |
Generators |
[871962:16830059:2744] |
Generators of the group modulo torsion |
j |
132651/89 |
j-invariant |
L |
3.4307142344014 |
L(r)(E,1)/r! |
Ω |
0.27467634587174 |
Real period |
R |
6.2450121495188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74849e1 |
Quadratic twists by: 29 |