Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315i |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
44780150625 = 3 · 54 · 77 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1030,7202] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:151:1] [7:16:1] |
Generators of the group modulo torsion |
j |
1027243729/380625 |
j-invariant |
L |
4.4951498412633 |
L(r)(E,1)/r! |
Ω |
1.0398981031265 |
Real period |
R |
4.3226829895627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63945l1 106575cc1 3045g1 |
Quadratic twists by: -3 5 -7 |