Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120cm |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-5322856448000000 = -1 · 217 · 56 · 7 · 135 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 5 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93665,-11547263] |
[a1,a2,a3,a4,a6] |
Generators |
[429:5200:1] |
Generators of the group modulo torsion |
j |
-693346671296498/40610171875 |
j-invariant |
L |
4.9750865441819 |
L(r)(E,1)/r! |
Ω |
0.13598851616479 |
Real period |
R |
0.30487173258518 |
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 |
29120t1 7280c1 |
Quadratic twists by: -4 8 |