Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100be |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
415530000 = 24 · 37 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -2 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,4525] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:45:1] [5:45:1] |
Generators of the group modulo torsion |
j |
2195200/57 |
j-invariant |
L |
6.3767667602732 |
L(r)(E,1)/r! |
Ω |
1.6756018756935 |
Real period |
R |
0.10571270692468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400gn1 5700p1 17100t1 |
Quadratic twists by: -4 -3 5 |