Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544bx |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-39016173168 = -1 · 24 · 32 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114,-9477] |
[a1,a2,a3,a4,a6] |
Generators |
[33:147:1] |
Generators of the group modulo torsion |
j |
-1792/423 |
j-invariant |
L |
2.2191244572988 |
L(r)(E,1)/r! |
Ω |
0.51390434577356 |
Real period |
R |
0.71969438937934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636o1 110544dp1 |
Quadratic twists by: -4 -7 |