Atkin-Lehner |
2+ 3+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
39114d |
Isogeny class |
Conductor |
39114 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-367401458234032128 = -1 · 233 · 39 · 41 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -6 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147732,-36406576] |
[a1,a2,a3,a4,a6] |
Generators |
[536590:5945053:1000] |
Generators of the group modulo torsion |
j |
-18115812010897875/18665927868416 |
j-invariant |
L |
2.2512379302062 |
L(r)(E,1)/r! |
Ω |
0.11693883410503 |
Real period |
R |
9.6257070948014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39114i1 |
Quadratic twists by: -3 |