Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525ba |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5215515908203125 = -1 · 33 · 510 · 7 · 414 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3312,3474117] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:927:1] [-93:1584:1] |
Generators of the group modulo torsion |
j |
257138126279/333793018125 |
j-invariant |
L |
5.8335144809073 |
L(r)(E,1)/r! |
Ω |
0.3367450584809 |
Real period |
R |
1.4436030893381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575z3 4305d4 |
Quadratic twists by: -3 5 |