Atkin-Lehner |
3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525d |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3192603134765625 = 34 · 510 · 74 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92750,-10565625] |
[a1,a2,a3,a4,a6] |
j |
5647454716105441/204326600625 |
j-invariant |
L |
2.1934391627692 |
L(r)(E,1)/r! |
Ω |
0.27417989534615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64575j2 4305m2 |
Quadratic twists by: -3 5 |