Atkin-Lehner |
3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6675b |
Isogeny class |
Conductor |
6675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
2816015625 = 34 · 58 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3713,-88594] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:22:1] |
Generators of the group modulo torsion |
j |
362314607689/180225 |
j-invariant |
L |
1.615022335435 |
L(r)(E,1)/r! |
Ω |
0.61161858552858 |
Real period |
R |
1.3202855289619 |
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 |
106800bv1 20025m1 1335a1 |
Quadratic twists by: -4 -3 5 |