Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6435h |
Isogeny class |
Conductor |
6435 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8857045016015625 = 38 · 58 · 112 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653603,203497962] |
[a1,a2,a3,a4,a6] |
Generators |
[32:13497:1] |
Generators of the group modulo torsion |
j |
42358217070122052841/12149581640625 |
j-invariant |
L |
2.7054538421822 |
L(r)(E,1)/r! |
Ω |
0.40257218329628 |
Real period |
R |
1.6801048075589 |
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 |
102960dy2 2145d2 32175h2 70785l2 |
Quadratic twists by: -4 -3 5 -11 |