Atkin-Lehner |
3- 5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735o |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
33361920 |
Modular degree for the optimal curve |
Δ |
-3.2456494837799E+27 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4613409455,120640146368352] |
[a1,a2,a3,a4,a6] |
Generators |
[-39003759:10691712782:729] |
Generators of the group modulo torsion |
j |
-10858997076517075742277406514302321/3245649483779943338772741375 |
j-invariant |
L |
5.1505971717676 |
L(r)(E,1)/r! |
Ω |
0.043800085505272 |
Real period |
R |
6.5329618428679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128205x1 |
Quadratic twists by: -3 |