Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506m |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
4602202967700340992 = 28 · 33 · 113 · 298 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-499572,-88459406] |
[a1,a2,a3,a4,a6] |
j |
23180817201697/7737092352 |
j-invariant |
L |
1.106384747474 |
L(r)(E,1)/r! |
Ω |
0.18439745815515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914l1 |
Quadratic twists by: 29 |