Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bh |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
81957143617851348 = 22 · 38 · 78 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118409,7528565] |
[a1,a2,a3,a4,a6] |
Generators |
[315:1030:1] |
Generators of the group modulo torsion |
j |
251852859092922697/112424065319412 |
j-invariant |
L |
10.969043889736 |
L(r)(E,1)/r! |
Ω |
0.30733817916282 |
Real period |
R |
2.2306543397071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094k3 |
Quadratic twists by: -3 |