Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976bk |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
-1655968550990381056 = -1 · 224 · 112 · 138 |
Discriminant |
Eigenvalues |
2+ 2 -3 2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-319297,93143361] |
[a1,a2,a3,a4,a6] |
j |
-16835377/7744 |
j-invariant |
L |
1.9903084813839 |
L(r)(E,1)/r! |
Ω |
0.24878867825459 |
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 |
118976cl1 3718o1 118976m1 |
Quadratic twists by: -4 8 13 |