Atkin-Lehner |
2+ 3+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848a |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
-60128256 = -1 · 210 · 3 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 6 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24,384] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:20:1] |
Generators of the group modulo torsion |
j |
-1556068/58719 |
j-invariant |
L |
4.8538414185071 |
L(r)(E,1)/r! |
Ω |
1.6428660063142 |
Real period |
R |
1.4772481139224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20424a1 122544k1 |
Quadratic twists by: -4 -3 |