Atkin-Lehner |
7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
52577g |
Isogeny class |
Conductor |
52577 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
948168938647 = 77 · 292 · 372 |
Discriminant |
Eigenvalues |
-1 0 0 7- 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2925,-38146] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:149:1] [-33:163:1] |
Generators of the group modulo torsion |
j |
23516564625/8059303 |
j-invariant |
L |
6.3345496481511 |
L(r)(E,1)/r! |
Ω |
0.66729481723816 |
Real period |
R |
4.7464400175997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7511b2 |
Quadratic twists by: -7 |