Atkin-Lehner |
3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128877m |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5581440 |
Modular degree for the optimal curve |
Δ |
8090115855837522381 = 36 · 7 · 173 · 199 |
Discriminant |
Eigenvalues |
2 3- -1 7+ 2 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6175386,-5907164821] |
[a1,a2,a3,a4,a6] |
Generators |
[-744312:143783:512] |
Generators of the group modulo torsion |
j |
80711180701696/25071039 |
j-invariant |
L |
16.674952886523 |
L(r)(E,1)/r! |
Ω |
0.095772674921825 |
Real period |
R |
4.8363808694602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128877d1 |
Quadratic twists by: -19 |