Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890q |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2069760 |
Modular degree for the optimal curve |
Δ |
361107134640000000 = 210 · 33 · 57 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-716634,231886388] |
[a1,a2,a3,a4,a6] |
Generators |
[-796:17646:1] [37:14314:1] |
Generators of the group modulo torsion |
j |
261497894088123/2320000000 |
j-invariant |
L |
9.9053689686434 |
L(r)(E,1)/r! |
Ω |
0.30377862999018 |
Real period |
R |
0.38818089090617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999934425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dg1 127890b1 |
Quadratic twists by: -3 -7 |