Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560w |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-101636718750000 = -1 · 24 · 32 · 512 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3465,-479808] |
[a1,a2,a3,a4,a6] |
Generators |
[84:630:1] |
Generators of the group modulo torsion |
j |
287467070203904/6352294921875 |
j-invariant |
L |
3.4169952520184 |
L(r)(E,1)/r! |
Ω |
0.289881663131 |
Real period |
R |
1.9645920425261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120bi1 |
Quadratic twists by: -4 |