Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5160b |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-2476800 = -1 · 28 · 32 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -5 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,141] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-150:1] [-4:15:1] |
Generators of the group modulo torsion |
j |
-30505984/9675 |
j-invariant |
L |
3.7915180358646 |
L(r)(E,1)/r! |
Ω |
2.4344021857562 |
Real period |
R |
0.097342123100288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10320k1 41280bp1 15480q1 25800bf1 |
Quadratic twists by: -4 8 -3 5 |