Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eo |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
298296284160420 = 22 · 37 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43448,-3374409] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:351:1] |
Generators of the group modulo torsion |
j |
105756712489/3478020 |
j-invariant |
L |
7.918998593539 |
L(r)(E,1)/r! |
Ω |
0.33134717026375 |
Real period |
R |
2.987425012278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110q1 8190bo1 |
Quadratic twists by: -3 -7 |