Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194t |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7609406633346672 = -1 · 24 · 38 · 7 · 114 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29304,-3733776] |
[a1,a2,a3,a4,a6] |
j |
3817407868331903/10438143529968 |
j-invariant |
L |
1.7154307602339 |
L(r)(E,1)/r! |
Ω |
0.21442884502948 |
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 |
13398bj4 |
Quadratic twists by: -3 |