Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260t |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.5243034377255E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2748728516,-55469029708716] |
[a1,a2,a3,a4,a6] |
Generators |
[-68173097575:14696035998:2248091] |
Generators of the group modulo torsion |
j |
76258990297490164969896016/506108025024879375 |
j-invariant |
L |
8.1605776048293 |
L(r)(E,1)/r! |
Ω |
0.020850514004318 |
Real period |
R |
8.1538533485214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180f2 |
Quadratic twists by: -7 |