Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315x |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27987594140625 = 3 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-159790,-24597133] |
[a1,a2,a3,a4,a6] |
Generators |
[1174:36913:1] |
Generators of the group modulo torsion |
j |
3835168345623889/237890625 |
j-invariant |
L |
3.8481503056642 |
L(r)(E,1)/r! |
Ω |
0.23878869259765 |
Real period |
R |
4.0288238356288 |
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 |
63945k4 106575t4 3045d4 |
Quadratic twists by: -3 5 -7 |