Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660bt |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-852275097601200 = -1 · 24 · 37 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-1405271] |
[a1,a2,a3,a4,a6] |
Generators |
[168:1715:1] |
Generators of the group modulo torsion |
j |
-1048576/621075 |
j-invariant |
L |
7.1538639775905 |
L(r)(E,1)/r! |
Ω |
0.22508200834615 |
Real period |
R |
1.32430693301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220v1 16380d1 |
Quadratic twists by: -3 -7 |