Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200by |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38304 |
Modular degree for the optimal curve |
Δ |
-121200 = -1 · 24 · 3 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -5 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-538,4987] |
[a1,a2,a3,a4,a6] |
j |
-43133781760/303 |
j-invariant |
L |
2.9614874833063 |
L(r)(E,1)/r! |
Ω |
2.9614875238192 |
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 |
30300l1 121200dz1 |
Quadratic twists by: -4 5 |