Atkin-Lehner |
2+ 3+ 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682a |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
746150400 |
Modular degree for the optimal curve |
Δ |
-1.5856026977675E+33 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 11+ 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69120219795,-7252100009289091] |
[a1,a2,a3,a4,a6] |
j |
-1855443572174700151547347147362723/80556962747931776360051622968 |
j-invariant |
L |
0.50152336610542 |
L(r)(E,1)/r! |
Ω |
0.0046437284382902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bd1 |
Quadratic twists by: -3 |