Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194m |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1541625934351734 = 2 · 322 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2359278,-1394224650] |
[a1,a2,a3,a4,a6] |
Generators |
[-887:471:1] |
Generators of the group modulo torsion |
j |
1992203236344109132513/2114713215846 |
j-invariant |
L |
2.8337086860566 |
L(r)(E,1)/r! |
Ω |
0.12181612888255 |
Real period |
R |
2.9077724682815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bf4 |
Quadratic twists by: -3 |