Atkin-Lehner |
2+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15128a |
Isogeny class |
Conductor |
15128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142576 |
Modular degree for the optimal curve |
Δ |
-24940807146662656 = -1 · 28 · 31 · 617 |
Discriminant |
Eigenvalues |
2+ -2 1 4 5 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71415,1966747] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1018:1] |
Generators of the group modulo torsion |
j |
157342478538220544/97425027916651 |
j-invariant |
L |
4.4424344444371 |
L(r)(E,1)/r! |
Ω |
0.23349572737387 |
Real period |
R |
4.7564408291334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30256c1 121024e1 |
Quadratic twists by: -4 8 |