Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650a |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-67762597656250 = -1 · 2 · 511 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -1 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10183,-23409] |
[a1,a2,a3,a4,a6] |
Generators |
[149:2113:1] |
Generators of the group modulo torsion |
j |
3112538751/1806250 |
j-invariant |
L |
3.8270298298299 |
L(r)(E,1)/r! |
Ω |
0.36650200019482 |
Real period |
R |
0.43508514594211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330q1 41650q1 |
Quadratic twists by: 5 -7 |