Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544br |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-131064377423486976 = -1 · 213 · 310 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 3 5 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28240,-17504192] |
[a1,a2,a3,a4,a6] |
j |
-105484561/5550606 |
j-invariant |
L |
3.4641335122357 |
L(r)(E,1)/r! |
Ω |
0.14433890799597 |
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 |
13818x1 110544dy1 |
Quadratic twists by: -4 -7 |