Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gx |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-1444490772480 = -1 · 218 · 33 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2015,45505] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3712:1] |
Generators of the group modulo torsion |
j |
3449795831/5510295 |
j-invariant |
L |
4.0654197305788 |
L(r)(E,1)/r! |
Ω |
0.58071232942158 |
Real period |
R |
3.5003731824547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240er1 28560dg1 |
Quadratic twists by: -4 8 |