Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6825j |
Isogeny class |
Conductor |
6825 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
3795489140625 = 35 · 57 · 7 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5838,-144333] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:129:1] |
Generators of the group modulo torsion |
j |
1408317602329/242911305 |
j-invariant |
L |
3.1808664773633 |
L(r)(E,1)/r! |
Ω |
0.55261027283636 |
Real period |
R |
1.1512151089906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ct1 20475w1 1365a1 47775q1 |
Quadratic twists by: -4 -3 5 -7 |