Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bk |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-20767796788920192 = -1 · 27 · 311 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-335435,75180251] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:9832:1] |
Generators of the group modulo torsion |
j |
-3231945186625/16080768 |
j-invariant |
L |
11.901627699913 |
L(r)(E,1)/r! |
Ω |
0.38554037173462 |
Real period |
R |
0.27562491726776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34122k1 9306g1 |
Quadratic twists by: -3 -11 |