Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bw |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
217066122307584000 = 214 · 35 · 53 · 114 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-779898,-264472569] |
[a1,a2,a3,a4,a6] |
j |
419688581788552310261/1736528978460672 |
j-invariant |
L |
4.499416874782 |
L(r)(E,1)/r! |
Ω |
0.16069345980802 |
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 |
51150bc1 |
Quadratic twists by: 5 |