Atkin-Lehner |
2+ 7+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858b |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9346176 |
Modular degree for the optimal curve |
Δ |
-3.3750745402818E+22 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 0 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11475973,-17380030160] |
[a1,a2,a3,a4,a6] |
j |
-28993983738179362441/5854624540000256 |
j-invariant |
L |
1.9474605460952 |
L(r)(E,1)/r! |
Ω |
0.040572093104528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858g1 |
Quadratic twists by: -7 |