Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13920a |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-75859545600000 = -1 · 212 · 35 · 55 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 5 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60621,5780421] |
[a1,a2,a3,a4,a6] |
Generators |
[143:124:1] |
Generators of the group modulo torsion |
j |
-6015063504300544/18520396875 |
j-invariant |
L |
3.970066358204 |
L(r)(E,1)/r! |
Ω |
0.61454552184049 |
Real period |
R |
3.2300832217556 |
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 |
13920j1 27840ee1 41760bl1 69600bm1 |
Quadratic twists by: -4 8 -3 5 |