Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bd |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-7336899233712 = -1 · 24 · 33 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 -7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-130321] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.6821700404074 |
L(r)(E,1)/r! |
Ω |
0.34108502068383 |
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 |
12996a1 51984bd2 51984bn1 |
Quadratic twists by: -4 -3 -19 |