Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426bi |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3804357999711227904 = 212 · 32 · 112 · 318 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20972884,-36970428016] |
[a1,a2,a3,a4,a6] |
Generators |
[408291448:14688966796:68921] |
Generators of the group modulo torsion |
j |
1149550394446181377/4286582784 |
j-invariant |
L |
10.909249129627 |
L(r)(E,1)/r! |
Ω |
0.070548066082148 |
Real period |
R |
12.886307798099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000445 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2046g2 |
Quadratic twists by: -31 |