Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336b |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
232479063539712 = 230 · 39 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37260,-2669328] |
[a1,a2,a3,a4,a6] |
Generators |
[-33096:56916:343] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
4.273397307491 |
L(r)(E,1)/r! |
Ω |
0.34448960033292 |
Real period |
R |
6.2025055377014 |
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 |
6336bp3 198d3 6336g1 69696l3 |
Quadratic twists by: -4 8 -3 -11 |