Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544dc |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-130346409984 = -1 · 213 · 3 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -1 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,376,17268] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1974:1] |
Generators of the group modulo torsion |
j |
596183/13254 |
j-invariant |
L |
11.64910661776 |
L(r)(E,1)/r! |
Ω |
0.77919906211678 |
Real period |
R |
1.2458419538143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818b1 110544ct1 |
Quadratic twists by: -4 -7 |