Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
3486b |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-29294282681961696 = -1 · 25 · 318 · 73 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24504,8111520] |
[a1,a2,a3,a4,a6] |
Generators |
[391:8617:1] |
Generators of the group modulo torsion |
j |
1627072745373049463/29294282681961696 |
j-invariant |
L |
1.7579683500706 |
L(r)(E,1)/r! |
Ω |
0.27780773063672 |
Real period |
R |
6.3280037097652 |
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 |
27888bl2 111552bk2 10458v2 87150cs2 |
Quadratic twists by: -4 8 -3 5 |