Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bx |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-139391915040 = -1 · 25 · 36 · 5 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -3 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240,18080] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:19:1] [-17:139:1] |
Generators of the group modulo torsion |
j |
-42899409/3902240 |
j-invariant |
L |
7.8912596241235 |
L(r)(E,1)/r! |
Ω |
0.85140959898632 |
Real period |
R |
0.77237203969596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210p1 127890cj1 |
Quadratic twists by: -3 -7 |