Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194l |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6090946025472 = 211 · 38 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1081458,433145556] |
[a1,a2,a3,a4,a6] |
Generators |
[579:624:1] |
Generators of the group modulo torsion |
j |
191878088180243526433/8355207168 |
j-invariant |
L |
3.8306450832677 |
L(r)(E,1)/r! |
Ω |
0.56213091834679 |
Real period |
R |
1.7036267523466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398be2 |
Quadratic twists by: -3 |