Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640f |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-3627037440 = -1 · 28 · 36 · 5 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53148,4716052] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-18:1] [162:598:1] |
Generators of the group modulo torsion |
j |
-88964552283136/19435 |
j-invariant |
L |
11.611154937078 |
L(r)(E,1)/r! |
Ω |
1.1131897536424 |
Real period |
R |
0.65190789008318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11960e1 |
Quadratic twists by: -3 |