Atkin-Lehner |
2- 3- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118404m |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-54611078608944 = -1 · 24 · 38 · 11 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,-355435] |
[a1,a2,a3,a4,a6] |
Generators |
[4772:22165:64] |
Generators of the group modulo torsion |
j |
5151653888/4682019771 |
j-invariant |
L |
7.428225196287 |
L(r)(E,1)/r! |
Ω |
0.29335735633411 |
Real period |
R |
6.3303552941305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39468a1 |
Quadratic twists by: -3 |