Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950m |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-327993750000 = -1 · 24 · 32 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,850,-25500] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-465:1] [190:655:8] |
Generators of the group modulo torsion |
j |
12649337/61200 |
j-invariant |
L |
8.2429522779788 |
L(r)(E,1)/r! |
Ω |
0.48535711049481 |
Real period |
R |
2.1229091178626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999947441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ca1 124950db1 |
Quadratic twists by: 5 -7 |