Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bh |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-6125101062500 = -1 · 22 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -1 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5538,-198808] |
[a1,a2,a3,a4,a6] |
Generators |
[976828:8981136:6859] |
Generators of the group modulo torsion |
j |
-208537/68 |
j-invariant |
L |
9.9811257922794 |
L(r)(E,1)/r! |
Ω |
0.27219932670375 |
Real period |
R |
9.1671110222259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666a1 41650bt1 |
Quadratic twists by: 5 -7 |