Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cl |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
12214167552000 = 214 · 310 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13128,-549648] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2480:1] |
Generators of the group modulo torsion |
j |
488745235133/23855796 |
j-invariant |
L |
5.5244831445914 |
L(r)(E,1)/r! |
Ω |
0.44736321177877 |
Real period |
R |
3.0872471253316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999754165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150o1 121200du1 |
Quadratic twists by: -4 5 |