Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200l |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-17943756800 = -1 · 219 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 -3 6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193,-6463] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1184:1] |
Generators of the group modulo torsion |
j |
-121945/2738 |
j-invariant |
L |
3.2807160104173 |
L(r)(E,1)/r! |
Ω |
0.530725519684 |
Real period |
R |
0.77269602856391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200cd1 1850k1 59200bt1 |
Quadratic twists by: -4 8 5 |