Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5160a |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-2888939520 = -1 · 211 · 38 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 -5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1096,-13844] |
[a1,a2,a3,a4,a6] |
Generators |
[349:6480:1] |
Generators of the group modulo torsion |
j |
-71157653138/1410615 |
j-invariant |
L |
3.0748730458983 |
L(r)(E,1)/r! |
Ω |
0.41435606951122 |
Real period |
R |
3.7104235609792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10320l1 41280br1 15480m1 25800bh1 |
Quadratic twists by: -4 8 -3 5 |