Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315x |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
27271111730625 = 32 · 54 · 78 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10585,-336400] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:257:1] |
Generators of the group modulo torsion |
j |
1114835073409/231800625 |
j-invariant |
L |
3.8481503056642 |
L(r)(E,1)/r! |
Ω |
0.47757738519529 |
Real period |
R |
2.0144119178144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63945k2 106575t2 3045d2 |
Quadratic twists by: -3 5 -7 |