Atkin-Lehner |
2- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10540a |
Isogeny class |
Conductor |
10540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1104 |
Modular degree for the optimal curve |
Δ |
-210800 = -1 · 24 · 52 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 1 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] [0:5:1] |
Generators of the group modulo torsion |
j |
-1755904/13175 |
j-invariant |
L |
4.7834545962008 |
L(r)(E,1)/r! |
Ω |
2.7143699843983 |
Real period |
R |
0.29371177742256 |
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 |
42160m1 94860q1 52700b1 |
Quadratic twists by: -4 -3 5 |