Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
66600g |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-5902257754080000 = -1 · 28 · 39 · 54 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 -3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89100,10883700] |
[a1,a2,a3,a4,a6] |
Generators |
[84:1998:1] |
Generators of the group modulo torsion |
j |
-24839654400/1874161 |
j-invariant |
L |
5.8745655999682 |
L(r)(E,1)/r! |
Ω |
0.41800120215933 |
Real period |
R |
0.43918575840633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66600bf1 66600ba1 |
Quadratic twists by: -3 5 |