Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65403i |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-312820521507 = -1 · 316 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 4 -5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1319,32946] |
[a1,a2,a3,a4,a6] |
j |
-2058425473/2539107 |
j-invariant |
L |
1.7498205466349 |
L(r)(E,1)/r! |
Ω |
0.8749102786764 |
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 |
21801c1 65403g1 |
Quadratic twists by: -3 13 |