Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6435h |
Isogeny class |
Conductor |
6435 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
2541020625 = 37 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653558,203527356] |
[a1,a2,a3,a4,a6] |
Generators |
[516:1607:1] |
Generators of the group modulo torsion |
j |
42349468688699229721/3485625 |
j-invariant |
L |
2.7054538421822 |
L(r)(E,1)/r! |
Ω |
0.80514436659255 |
Real period |
R |
3.3602096151178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960dy1 2145d1 32175h1 70785l1 |
Quadratic twists by: -4 -3 5 -11 |