Atkin-Lehner |
2- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120m |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-382918983680000 = -1 · 225 · 54 · 19 · 312 |
Discriminant |
Eigenvalues |
2- -1 5- 1 4 -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1806920,935484400] |
[a1,a2,a3,a4,a6] |
Generators |
[770:-310:1] |
Generators of the group modulo torsion |
j |
-159287163738148171081/93486080000 |
j-invariant |
L |
5.1782791054019 |
L(r)(E,1)/r! |
Ω |
0.44052420735725 |
Real period |
R |
0.73467573105475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890c1 |
Quadratic twists by: -4 |