Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600bt |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-21382855372800 = -1 · 212 · 39 · 52 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4533,250083] |
[a1,a2,a3,a4,a6] |
Generators |
[102:927:1] |
Generators of the group modulo torsion |
j |
-100618240000/208816947 |
j-invariant |
L |
9.5624499716229 |
L(r)(E,1)/r! |
Ω |
0.60512432849245 |
Real period |
R |
0.87791416439827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725b1 123600bn1 |
Quadratic twists by: -4 5 |