Atkin-Lehner |
3+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675b |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-339039675 = -1 · 39 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 3 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,127,653] |
[a1,a2,a3,a4,a6] |
j |
8990228480/13561587 |
j-invariant |
L |
1.1610617523155 |
L(r)(E,1)/r! |
Ω |
1.1610617503445 |
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 |
51675bc1 |
Quadratic twists by: 5 |