Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832y |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
183699205530624 = 210 · 312 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16131,-443410] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:560:1] [-61:560:1] |
Generators of the group modulo torsion |
j |
621842070532/246081969 |
j-invariant |
L |
8.4617535595392 |
L(r)(E,1)/r! |
Ω |
0.43828145087679 |
Real period |
R |
9.6533329697294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83664q2 13944d2 |
Quadratic twists by: -4 -3 |