Atkin-Lehner |
3- 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
77025g |
Isogeny class |
Conductor |
77025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-526417734375 = -1 · 38 · 57 · 13 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1999,6023] |
[a1,a2,a3,a4,a6] |
j |
56578878719/33690735 |
j-invariant |
L |
2.2630283377068 |
L(r)(E,1)/r! |
Ω |
0.56575708668713 |
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 |
15405d1 |
Quadratic twists by: 5 |