Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10850z |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
26582500000 = 25 · 57 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -1 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3105,66897] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:360:1] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
4.2016754650298 |
L(r)(E,1)/r! |
Ω |
1.194204015166 |
Real period |
R |
0.058639833334865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800bi1 97650bk1 2170d1 75950ct1 |
Quadratic twists by: -4 -3 5 -7 |