Atkin-Lehner |
2+ 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
65758k |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
30945451768 = 23 · 78 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ -1 4 7- 11- 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,-5060] |
[a1,a2,a3,a4,a6] |
j |
594823321/263032 |
j-invariant |
L |
1.8375356579943 |
L(r)(E,1)/r! |
Ω |
0.91876782695904 |
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 |
9394b1 |
Quadratic twists by: -7 |