Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bf |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
199594636738560 = 218 · 37 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 2 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22500,1112656] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:1292:1] |
Generators of the group modulo torsion |
j |
719718117601/114032640 |
j-invariant |
L |
4.3542090991833 |
L(r)(E,1)/r! |
Ω |
0.54038938194803 |
Real period |
R |
2.014385031214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999336067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cp1 127890df1 |
Quadratic twists by: -3 -7 |