Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120bv |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-715951308800 = -1 · 217 · 52 · 75 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3361,86465] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:80:1] [29:-112:1] |
Generators of the group modulo torsion |
j |
-32044133522/5462275 |
j-invariant |
L |
6.6125916904255 |
L(r)(E,1)/r! |
Ω |
0.86925832182899 |
Real period |
R |
0.19017913100077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29120b1 7280h1 |
Quadratic twists by: -4 8 |