Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bf |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
9356083200 = 215 · 35 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,7792] |
[a1,a2,a3,a4,a6] |
j |
570420625/91368 |
j-invariant |
L |
2.4791968059429 |
L(r)(E,1)/r! |
Ω |
1.2395984026166 |
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 |
7050i1 56400df1 |
Quadratic twists by: -4 5 |