Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bi |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
122697979455744 = 28 · 310 · 72 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17096,679691] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-1871:1] |
Generators of the group modulo torsion |
j |
757976769362233/168309985536 |
j-invariant |
L |
7.6752226986959 |
L(r)(E,1)/r! |
Ω |
0.55470476216272 |
Real period |
R |
0.86478691258813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17094j2 |
Quadratic twists by: -3 |