Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hd |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-84342641630625000 = -1 · 23 · 34 · 57 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20187,-13927383] |
[a1,a2,a3,a4,a6] |
Generators |
[1572:61689:1] |
Generators of the group modulo torsion |
j |
10100279/936360 |
j-invariant |
L |
12.738494316085 |
L(r)(E,1)/r! |
Ω |
0.16208586915609 |
Real period |
R |
0.54577099811173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999428904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990j1 124950gf1 |
Quadratic twists by: 5 -7 |