Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544cc |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
1449798545326473216 = 220 · 36 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3946672,3018589120] |
[a1,a2,a3,a4,a6] |
Generators |
[7210:591030:1] |
Generators of the group modulo torsion |
j |
41131506620359/8771328 |
j-invariant |
L |
6.8031683903933 |
L(r)(E,1)/r! |
Ω |
0.26186456373946 |
Real period |
R |
6.4949303120248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818bi1 110544ee1 |
Quadratic twists by: -4 -7 |