Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390cb |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2458212606897600 = -1 · 26 · 3 · 52 · 712 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-223980,40776525] |
[a1,a2,a3,a4,a6] |
j |
-10562417119034929/20894462400 |
j-invariant |
L |
5.5045338012569 |
L(r)(E,1)/r! |
Ω |
0.45871115018155 |
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 |
7770w1 |
Quadratic twists by: -7 |