Atkin-Lehner |
3- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25155o |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
84596895840234375 = 318 · 58 · 13 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112262,-3683226] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:3378:1] |
Generators of the group modulo torsion |
j |
214630225740574489/116045124609375 |
j-invariant |
L |
3.5065762826743 |
L(r)(E,1)/r! |
Ω |
0.27792250435081 |
Real period |
R |
1.577137613804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8385c3 125775p3 |
Quadratic twists by: -3 5 |