Atkin-Lehner |
2- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950j |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
53135704256000000 = 212 · 56 · 29 · 315 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1756863,896088217] |
[a1,a2,a3,a4,a6] |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
4.0670445106449 |
L(r)(E,1)/r! |
Ω |
0.33892037587412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798a1 |
Quadratic twists by: 5 |