Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200ch |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2554664000000000 = -1 · 212 · 59 · 75 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25592,-1860688] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1750:1] |
Generators of the group modulo torsion |
j |
28962726911/39916625 |
j-invariant |
L |
4.0131909326539 |
L(r)(E,1)/r! |
Ω |
0.24297255679847 |
Real period |
R |
0.41292635941265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3325d1 10640i1 |
Quadratic twists by: -4 5 |