Atkin-Lehner |
3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65403b |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-4085261506521 = -1 · 39 · 136 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 1 3 3 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2567,-108728] |
[a1,a2,a3,a4,a6] |
Generators |
[448894:-89083:6859] |
Generators of the group modulo torsion |
j |
-19683/43 |
j-invariant |
L |
5.5619591445688 |
L(r)(E,1)/r! |
Ω |
0.31406080519695 |
Real period |
R |
8.854908114605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65403a1 387b1 |
Quadratic twists by: -3 13 |