Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366i |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-17522828540651412 = -1 · 22 · 314 · 117 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 11- -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,64773,533385] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:125:1] |
Generators of the group modulo torsion |
j |
23271176375/13568148 |
j-invariant |
L |
5.2574139233764 |
L(r)(E,1)/r! |
Ω |
0.23496699475934 |
Real period |
R |
2.7968895912396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34122w1 9306m1 |
Quadratic twists by: -3 -11 |