Atkin-Lehner |
3- 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35685h |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-204581961479390625 = -1 · 36 · 56 · 136 · 612 |
Discriminant |
Eigenvalues |
1 3- 5- 4 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,127116,12978765] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1347:1] |
Generators of the group modulo torsion |
j |
311598183335516351/280633692015625 |
j-invariant |
L |
8.7866582409328 |
L(r)(E,1)/r! |
Ω |
0.20680639586344 |
Real period |
R |
3.540613514493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3965a2 |
Quadratic twists by: -3 |