Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bb |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3124269044176896000 = 214 · 37 · 53 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5796785,-5369307183] |
[a1,a2,a3,a4,a6] |
Generators |
[138367448:-14392950565:12167] |
Generators of the group modulo torsion |
j |
1314817350433665559504/190690249278375 |
j-invariant |
L |
6.2818539288093 |
L(r)(E,1)/r! |
Ω |
0.097298586191541 |
Real period |
R |
10.760440575034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hw2 4620h2 |
Quadratic twists by: -4 8 |