Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10656d |
Isogeny class |
Conductor |
10656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
110370926592 = 212 · 39 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,22912] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:135:1] [-42:148:1] |
Generators of the group modulo torsion |
j |
195112000/36963 |
j-invariant |
L |
5.6053985214052 |
L(r)(E,1)/r! |
Ω |
1.0023496669333 |
Real period |
R |
0.69903232204335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10656c2 21312cg1 3552f2 |
Quadratic twists by: -4 8 -3 |