Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bp |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2118520656 = -1 · 24 · 39 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-599,6207] |
[a1,a2,a3,a4,a6] |
Generators |
[17:18:1] |
Generators of the group modulo torsion |
j |
-33874537/3024 |
j-invariant |
L |
9.91847675449 |
L(r)(E,1)/r! |
Ω |
1.4346008362731 |
Real period |
R |
0.43210960022656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40362k1 121086bb1 |
Quadratic twists by: -3 -31 |