Atkin-Lehner |
3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645c |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
1.9103710366035E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1232033,-482218144] |
[a1,a2,a3,a4,a6] |
j |
283702311983803333321/26205364013765625 |
j-invariant |
L |
1.1531756689662 |
L(r)(E,1)/r! |
Ω |
0.14414695862078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215h1 108225z1 |
Quadratic twists by: -3 5 |