Atkin-Lehner |
2+ 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109224c |
Isogeny class |
Conductor |
109224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
104467076352 = 28 · 38 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 4 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1407,-13070] |
[a1,a2,a3,a4,a6] |
j |
1650587344/559773 |
j-invariant |
L |
3.2036839438596 |
L(r)(E,1)/r! |
Ω |
0.80092083819439 |
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 |
36408c2 |
Quadratic twists by: -3 |