Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528ba |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
43259066704 = 24 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1437,17954] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:196:1] |
Generators of the group modulo torsion |
j |
174456832/22981 |
j-invariant |
L |
4.5133838424394 |
L(r)(E,1)/r! |
Ω |
1.0988043023306 |
Real period |
R |
2.0537705544402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13132e1 7504o1 |
Quadratic twists by: -4 -7 |