Atkin-Lehner |
2+ 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650j |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-398899200 = -1 · 211 · 3 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2530,-50060] |
[a1,a2,a3,a4,a6] |
j |
-71682551408785/15955968 |
j-invariant |
L |
0.67311811014218 |
L(r)(E,1)/r! |
Ω |
0.33655905556717 |
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 |
55650dn1 |
Quadratic twists by: 5 |