Atkin-Lehner |
3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46827d |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-6040683 = -1 · 33 · 112 · 432 |
Discriminant |
Eigenvalues |
-2 3+ 0 1 11- -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8415,297118] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:730:1] [58:64:1] |
Generators of the group modulo torsion |
j |
-20171441664000/1849 |
j-invariant |
L |
5.048770800271 |
L(r)(E,1)/r! |
Ω |
1.8336244160432 |
Real period |
R |
0.68835945301798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827c1 46827i1 |
Quadratic twists by: -3 -11 |