Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fn |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3696000000000000 = 216 · 3 · 512 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40545,-1134975] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:1395:1] [-85:1300:1] |
Generators of the group modulo torsion |
j |
112477694831716/56396484375 |
j-invariant |
L |
9.490711759836 |
L(r)(E,1)/r! |
Ω |
0.35450617474361 |
Real period |
R |
4.4619400337799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dm3 18480r3 |
Quadratic twists by: -4 8 |