Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400dy |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-152882380800 = -1 · 223 · 36 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,33680] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:128:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
5.2352401266023 |
L(r)(E,1)/r! |
Ω |
0.97654136887758 |
Real period |
R |
1.3402504731109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14400bh1 3600bi1 1600q1 14400ew3 |
Quadratic twists by: -4 8 -3 5 |