Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25857i |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-293888997662481 = -1 · 36 · 136 · 174 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1046,825166] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:794:1] [-55:872:1] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
4.2231021966184 |
L(r)(E,1)/r! |
Ω |
0.43967013581012 |
Real period |
R |
2.4012901108445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873a4 153c4 |
Quadratic twists by: -3 13 |