Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825n |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-1330671827344921875 = -1 · 35 · 58 · 112 · 415 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2867458,1870712943] |
[a1,a2,a3,a4,a6] |
j |
-6675057717191864320/3406519878003 |
j-invariant |
L |
2.6752097571679 |
L(r)(E,1)/r! |
Ω |
0.26752097571691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475ce2 33825w1 |
Quadratic twists by: -3 5 |