Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200cj |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
242034031250000 = 24 · 59 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17000,409375] |
[a1,a2,a3,a4,a6] |
j |
17386831872/7745089 |
j-invariant |
L |
1.9979522173637 |
L(r)(E,1)/r! |
Ω |
0.49948803430045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25300n1 101200cl1 |
Quadratic twists by: -4 5 |