Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664be |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
3204649582592 = 226 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 2 0 -4 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18113,940385] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:912:1] |
Generators of the group modulo torsion |
j |
2507141976625/12224768 |
j-invariant |
L |
7.536714500595 |
L(r)(E,1)/r! |
Ω |
0.80110053493896 |
Real period |
R |
4.7039754511083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664g1 14416e1 |
Quadratic twists by: -4 8 |