Atkin-Lehner |
3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4335c |
Isogeny class |
Conductor |
4335 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
1.3392272680606E+20 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1280655,34490306] |
[a1,a2,a3,a4,a6] |
j |
115220905984/66430125 |
j-invariant |
L |
0.94311797330348 |
L(r)(E,1)/r! |
Ω |
0.15718632888391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360ds1 13005g1 21675o1 4335e1 |
Quadratic twists by: -4 -3 5 17 |