Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080z |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6985207646484480 = 211 · 39 · 5 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2542683,1560576278] |
[a1,a2,a3,a4,a6] |
Generators |
[34754:2154087:8] |
Generators of the group modulo torsion |
j |
1217707244459238962/4678663815 |
j-invariant |
L |
6.3129097358538 |
L(r)(E,1)/r! |
Ω |
0.36871279287801 |
Real period |
R |
8.5607413921104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360g4 |
Quadratic twists by: -3 |