Atkin-Lehner |
2+ 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282o |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
130006799637378048 = 210 · 314 · 72 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1805760,-933368832] |
[a1,a2,a3,a4,a6] |
Generators |
[-5291424:254592:6859] |
Generators of the group modulo torsion |
j |
893256951933281295361/178335801971712 |
j-invariant |
L |
6.3988535990626 |
L(r)(E,1)/r! |
Ω |
0.13023860603402 |
Real period |
R |
6.1414715976835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094bd2 |
Quadratic twists by: -3 |