Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cg |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-5634621300213075456 = -1 · 29 · 32 · 117 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-941080,-369874471] |
[a1,a2,a3,a4,a6] |
Generators |
[1799:-62247:1] |
Generators of the group modulo torsion |
j |
-10779215329/658944 |
j-invariant |
L |
8.7915294862991 |
L(r)(E,1)/r! |
Ω |
0.076370964302487 |
Real period |
R |
0.39970876663238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154b1 9438h1 |
Quadratic twists by: -11 13 |