Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3660c |
Isogeny class |
Conductor |
3660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
5490000 = 24 · 32 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
643956736/343125 |
j-invariant |
L |
2.9803356621566 |
L(r)(E,1)/r! |
Ω |
1.9553272310453 |
Real period |
R |
0.25403554068742 |
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 |
14640bh1 58560bj1 10980c1 18300g1 |
Quadratic twists by: -4 8 -3 5 |