Atkin-Lehner |
2+ 3+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
79992b |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-84471552 = -1 · 28 · 33 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,410] |
[a1,a2,a3,a4,a6] |
j |
2963088/12221 |
j-invariant |
L |
2.7399301707664 |
L(r)(E,1)/r! |
Ω |
1.369965090492 |
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 |
79992l1 |
Quadratic twists by: -3 |