Atkin-Lehner |
3+ 5- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128775c |
Isogeny class |
Conductor |
128775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-52153875 = -1 · 35 · 53 · 17 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -6 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7380,240975] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-15:1] |
Generators of the group modulo torsion |
j |
-355692518540477/417231 |
j-invariant |
L |
3.7338763914606 |
L(r)(E,1)/r! |
Ω |
1.6857727203032 |
Real period |
R |
1.1074673551719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996773075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128775g1 |
Quadratic twists by: 5 |