Atkin-Lehner |
2+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176v |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-44960768 = -1 · 210 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ -3 -2 3 3 -4 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-496,4264] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:92:1] [9:23:1] |
Generators of the group modulo torsion |
j |
-13178585088/43907 |
j-invariant |
L |
7.0348661237624 |
L(r)(E,1)/r! |
Ω |
2.0306393388848 |
Real period |
R |
0.86609005226417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bg1 7636f1 |
Quadratic twists by: -4 8 |