Atkin-Lehner |
2- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
51100m |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
-399218750000 = -1 · 24 · 511 · 7 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,29125] |
[a1,a2,a3,a4,a6] |
j |
226492416/1596875 |
j-invariant |
L |
1.379091564953 |
L(r)(E,1)/r! |
Ω |
0.68954578267186 |
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 |
10220b1 |
Quadratic twists by: 5 |