Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560fn |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-2913084000000000000 = -1 · 214 · 39 · 512 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-738012,257476016] |
[a1,a2,a3,a4,a6] |
Generators |
[-878:15120:1] [877:16875:1] |
Generators of the group modulo torsion |
j |
-3721915550952016/243896484375 |
j-invariant |
L |
12.169196335305 |
L(r)(E,1)/r! |
Ω |
0.24999501045058 |
Real period |
R |
1.0141199346118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ck1 26640g1 35520bp1 |
Quadratic twists by: -4 8 -3 |