Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725i |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1054872528132515625 = 314 · 56 · 132 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-312530,45691472] |
[a1,a2,a3,a4,a6] |
Generators |
[-570:6481:1] |
Generators of the group modulo torsion |
j |
296380748763217/92608836489 |
j-invariant |
L |
2.8147030485251 |
L(r)(E,1)/r! |
Ω |
0.25583065118025 |
Real period |
R |
1.3752764942155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999319 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16575f3 1989e3 |
Quadratic twists by: -3 5 |