Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656t |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-46835712 = -1 · 211 · 33 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,288] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
48334/189 |
j-invariant |
L |
6.4798991952775 |
L(r)(E,1)/r! |
Ω |
1.4359873453734 |
Real period |
R |
1.1281260966803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20328y1 121968ce1 40656j1 |
Quadratic twists by: -4 -3 -11 |