Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920ca |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-24144091545600 = -1 · 226 · 33 · 52 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1384,-235116] |
[a1,a2,a3,a4,a6] |
Generators |
[55:102:1] |
Generators of the group modulo torsion |
j |
71525054951/5894553600 |
j-invariant |
L |
7.4835819981966 |
L(r)(E,1)/r! |
Ω |
0.32034530358886 |
Real period |
R |
3.8934976034645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999563986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990d1 |
Quadratic twists by: -4 |