Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825be |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
Δ |
566759744702749125 = 35 · 53 · 115 · 415 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11- -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-226248,-20170186] |
[a1,a2,a3,a4,a6] |
Generators |
[-3366:6761:8] |
Generators of the group modulo torsion |
j |
10246366005636091904/4534077957621993 |
j-invariant |
L |
2.5864649288116 |
L(r)(E,1)/r! |
Ω |
0.22804400279629 |
Real period |
R |
1.1341955487082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
101475cd2 33825o2 |
Quadratic twists by: -3 5 |