Atkin-Lehner |
2+ 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342a |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
76451038362496 = 27 · 79 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -2 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22517,1228672] |
[a1,a2,a3,a4,a6] |
j |
31285651951/1894528 |
j-invariant |
L |
2.4071352465802 |
L(r)(E,1)/r! |
Ω |
0.60178381938649 |
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 |
76342j1 |
Quadratic twists by: -7 |