Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488d |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-656969945156096 = -1 · 29 · 112 · 139 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 11+ 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24392,1907816] |
[a1,a2,a3,a4,a6] |
Generators |
[290:4394:1] |
Generators of the group modulo torsion |
j |
-649461896/265837 |
j-invariant |
L |
4.7012814105531 |
L(r)(E,1)/r! |
Ω |
0.47965196925212 |
Real period |
R |
0.61259018410288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488w1 118976bf1 4576f1 |
Quadratic twists by: -4 8 13 |