Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150br |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-1734052140800000000 = -1 · 214 · 58 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-335880,98204747] |
[a1,a2,a3,a4,a6] |
Generators |
[93:8185:1] |
Generators of the group modulo torsion |
j |
-2279642092281/943308800 |
j-invariant |
L |
10.811896828395 |
L(r)(E,1)/r! |
Ω |
0.24868416126396 |
Real period |
R |
1.5527292587115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23030e1 16450p1 |
Quadratic twists by: 5 -7 |