Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698be |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1533958430221559916 = 22 · 310 · 72 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-319694,-35833327] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:4365:1] |
Generators of the group modulo torsion |
j |
4956765426045270937/2104195377533004 |
j-invariant |
L |
9.9578697438414 |
L(r)(E,1)/r! |
Ω |
0.20857321418117 |
Real period |
R |
5.9678502959588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566j3 |
Quadratic twists by: -3 |