Atkin-Lehner |
2+ 3- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478y |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-1240147770624 = -1 · 28 · 35 · 74 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1101,51790] |
[a1,a2,a3,a4,a6] |
Generators |
[47:432:1] [-17:176:1] |
Generators of the group modulo torsion |
j |
61554585911/516513024 |
j-invariant |
L |
10.134115701931 |
L(r)(E,1)/r! |
Ω |
0.63068349843413 |
Real period |
R |
0.26780774955794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478s1 |
Quadratic twists by: -7 |