Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gi |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-42959390520816 = -1 · 24 · 39 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6171,-254221] |
[a1,a2,a3,a4,a6] |
Generators |
[4730:22869:125] |
Generators of the group modulo torsion |
j |
1257728/2079 |
j-invariant |
L |
5.8673782751534 |
L(r)(E,1)/r! |
Ω |
0.33798744066183 |
Real period |
R |
4.3399381335723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999072266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492u1 40656bv1 11088bi1 |
Quadratic twists by: -4 -3 -11 |