Atkin-Lehner |
2+ 3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646v |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
942606309469968 = 24 · 36 · 118 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292281,60875549] |
[a1,a2,a3,a4,a6] |
j |
3787902338451195537/1293012770192 |
j-invariant |
L |
3.8928331974638 |
L(r)(E,1)/r! |
Ω |
0.48660414651663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8294e3 |
Quadratic twists by: -3 |