Atkin-Lehner |
3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108537d |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4435200 |
Modular degree for the optimal curve |
Δ |
-1.3389929171815E+20 |
Discriminant |
Eigenvalues |
1 3+ -3 -3 11- 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4911634,-4228615079] |
[a1,a2,a3,a4,a6] |
j |
-7396831582983827713/75582659427561 |
j-invariant |
L |
0.40540452057715 |
L(r)(E,1)/r! |
Ω |
0.05067555224654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9867h1 |
Quadratic twists by: -11 |