Atkin-Lehner |
3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4641a |
Isogeny class |
Conductor |
4641 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21538881 = 32 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1547,-24064] |
[a1,a2,a3,a4,a6] |
Generators |
[58:263:1] |
Generators of the group modulo torsion |
j |
409460675852593/21538881 |
j-invariant |
L |
2.3701611465513 |
L(r)(E,1)/r! |
Ω |
0.76124926245312 |
Real period |
R |
3.1135151959471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256dc2 13923g2 116025bf2 32487n2 |
Quadratic twists by: -4 -3 5 -7 |