Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6435f |
Isogeny class |
Conductor |
6435 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
156096851625 = 38 · 53 · 114 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40148370,-97905135425] |
[a1,a2,a3,a4,a6] |
Generators |
[6174995233135020133838083976837066299067990502:-537932276943926738187567391724726042364543865043:529388792567526437034789436995746009424329] |
Generators of the group modulo torsion |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
4.4194090907078 |
L(r)(E,1)/r! |
Ω |
0.059976701118291 |
Real period |
R |
73.685431314261 |
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 |
102960ds1 2145e1 32175i1 70785n1 |
Quadratic twists by: -4 -3 5 -11 |