Atkin-Lehner |
3+ 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108537h |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-52439977161 = -1 · 32 · 117 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -3 -1 11- 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,663,-8568] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-196:1] |
Generators of the group modulo torsion |
j |
18191447/29601 |
j-invariant |
L |
2.1120517295398 |
L(r)(E,1)/r! |
Ω |
0.59163397151569 |
Real period |
R |
0.89246555606969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998296722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9867a1 |
Quadratic twists by: -11 |