Atkin-Lehner |
2+ 3+ 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774h |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
110165278608 = 24 · 39 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1230,4868] |
[a1,a2,a3,a4,a6] |
j |
10460353203/5596976 |
j-invariant |
L |
3.6931399170945 |
L(r)(E,1)/r! |
Ω |
0.92328496779257 |
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 |
81774bm1 |
Quadratic twists by: -3 |