Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28420j |
Isogeny class |
Conductor |
28420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1671792290000 = 24 · 54 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3332,-40131] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:735:8] |
Generators of the group modulo torsion |
j |
2173353984/888125 |
j-invariant |
L |
5.8101701162464 |
L(r)(E,1)/r! |
Ω |
0.65127318362848 |
Real period |
R |
2.230312203197 |
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 |
113680bv1 4060d1 |
Quadratic twists by: -4 -7 |