Atkin-Lehner |
3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525p |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
203580794689453125 = 32 · 59 · 710 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-158638,-11029594] |
[a1,a2,a3,a4,a6] |
Generators |
[460:3457:1] |
Generators of the group modulo torsion |
j |
226055731115213/104233366881 |
j-invariant |
L |
2.0384906500127 |
L(r)(E,1)/r! |
Ω |
0.25000148973394 |
Real period |
R |
4.0769570057005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575bj2 21525bd2 |
Quadratic twists by: -3 5 |