Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418o |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
33868800 |
Modular degree for the optimal curve |
Δ |
-1.9940585636608E+27 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3703407040,-86774309941248] |
[a1,a2,a3,a4,a6] |
Generators |
[46966123070527721088:-17450321894411203339072:287143308322317] |
Generators of the group modulo torsion |
j |
-47746310242879869583883397625/16949218129017342902272 |
j-invariant |
L |
6.5146700504113 |
L(r)(E,1)/r! |
Ω |
0.0096763139133301 |
Real period |
R |
28.052478233459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774e1 |
Quadratic twists by: -7 |