Atkin-Lehner |
3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65403d |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
947063367081 = 33 · 138 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 2 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76589,-8138932] |
[a1,a2,a3,a4,a6] |
j |
381235834251/7267 |
j-invariant |
L |
0.57396959933084 |
L(r)(E,1)/r! |
Ω |
0.28698479963881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65403c1 5031a1 |
Quadratic twists by: -3 13 |