Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150r |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-268173312000000 = -1 · 224 · 3 · 56 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33601,2495348] |
[a1,a2,a3,a4,a6] |
j |
-268498407453697/17163091968 |
j-invariant |
L |
2.1703146958139 |
L(r)(E,1)/r! |
Ω |
0.54257867430725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046g1 |
Quadratic twists by: 5 |