Atkin-Lehner |
2- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166p |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-727997543612416 = -1 · 218 · 74 · 114 · 79 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16699,1539729] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1137:1] [-130:1297:1] |
Generators of the group modulo torsion |
j |
-514987552087139377/727997543612416 |
j-invariant |
L |
6.2977067965678 |
L(r)(E,1)/r! |
Ω |
0.45652449317946 |
Real period |
R |
0.19159574405999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328o1 109494o1 85162bb1 |
Quadratic twists by: -4 -3 -7 |