Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950dj |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
263424 |
Modular degree for the optimal curve |
Δ |
-4704077616000 = -1 · 27 · 3 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,464,104318] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1051:1] |
Generators of the group modulo torsion |
j |
15379/6528 |
j-invariant |
L |
5.5039035915408 |
L(r)(E,1)/r! |
Ω |
0.59990704505211 |
Real period |
R |
1.5290990106891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950gh1 124950cc1 |
Quadratic twists by: 5 -7 |