Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10620b |
Isogeny class |
Conductor |
10620 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-7097898240 = -1 · 28 · 33 · 5 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,-4058] |
[a1,a2,a3,a4,a6] |
Generators |
[83:750:1] |
Generators of the group modulo torsion |
j |
-4000752/1026895 |
j-invariant |
L |
3.6333400912472 |
L(r)(E,1)/r! |
Ω |
0.59276112855686 |
Real period |
R |
3.0647590709034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42480q1 10620e2 53100e1 |
Quadratic twists by: -4 -3 5 |