Atkin-Lehner |
5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10535b |
Isogeny class |
Conductor |
10535 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-373069096715 = -1 · 5 · 79 · 432 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -3 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,29392] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:107:1] [-2:171:1] |
Generators of the group modulo torsion |
j |
-4096/3171035 |
j-invariant |
L |
2.6535288991386 |
L(r)(E,1)/r! |
Ω |
0.75857130104161 |
Real period |
R |
0.43725766046887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815bj1 52675i1 1505b1 |
Quadratic twists by: -3 5 -7 |