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 |
-94427721297 = -1 · 34 · 74 · 134 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1462,-26716] |
[a1,a2,a3,a4,a6] |
Generators |
[74:489:1] |
Generators of the group modulo torsion |
j |
-345608484635233/94427721297 |
j-invariant |
L |
2.3701611465513 |
L(r)(E,1)/r! |
Ω |
0.38062463122656 |
Real period |
R |
1.5567575979736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256dc3 13923g4 116025bf3 32487n3 |
Quadratic twists by: -4 -3 5 -7 |