Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dy |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3919104 |
Modular degree for the optimal curve |
Δ |
-1.7351971537636E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,517512,-617532048] |
[a1,a2,a3,a4,a6] |
j |
149687036429469215/1694528470472292 |
j-invariant |
L |
3.7341859257661 |
L(r)(E,1)/r! |
Ω |
0.088909191160977 |
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 |
13650ba1 109200gt1 |
Quadratic twists by: -4 5 |