Atkin-Lehner |
2- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002t |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
4901833349504 = 27 · 79 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 0 1 7- -3 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4297,21193] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:366:1] |
Generators of the group modulo torsion |
j |
74565301329/41664896 |
j-invariant |
L |
9.0755704326829 |
L(r)(E,1)/r! |
Ω |
0.66535543245066 |
Real period |
R |
0.48714942334224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286k1 |
Quadratic twists by: -7 |