Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
48480r |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-353419200000 = -1 · 29 · 37 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6496,-205720] |
[a1,a2,a3,a4,a6] |
j |
-59218670617352/690271875 |
j-invariant |
L |
3.7198805934561 |
L(r)(E,1)/r! |
Ω |
0.26570575669256 |
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 |
48480h1 96960cl1 |
Quadratic twists by: -4 8 |