Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920p |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
515970000 = 24 · 34 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132711,18564210] |
[a1,a2,a3,a4,a6] |
j |
16155773913566746624/32248125 |
j-invariant |
L |
2.1449524560153 |
L(r)(E,1)/r! |
Ω |
1.0724762280076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21840d1 87360u1 32760r1 54600f1 |
Quadratic twists by: -4 8 -3 5 |