Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315i |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
122876733315 = 3 · 5 · 710 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113730,-14809908] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:98:1] [861:22514:1] |
Generators of the group modulo torsion |
j |
1382804639990929/1044435 |
j-invariant |
L |
4.4951498412633 |
L(r)(E,1)/r! |
Ω |
0.25997452578162 |
Real period |
R |
17.290731958251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63945l4 106575cc4 3045g3 |
Quadratic twists by: -3 5 -7 |