Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57760k |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
8695584276992000 = 212 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 0 5- 2 5 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54872,-2085136] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:140:1] |
Generators of the group modulo torsion |
j |
262656/125 |
j-invariant |
L |
6.9307772639484 |
L(r)(E,1)/r! |
Ω |
0.3268964286077 |
Real period |
R |
3.5336254632928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57760l1 115520bi1 57760f1 |
Quadratic twists by: -4 8 -19 |