Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760cp |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4337012736000000 = 218 · 32 · 56 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261480,-51453900] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:294:1] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
5.7626802096424 |
L(r)(E,1)/r! |
Ω |
0.21115289289307 |
Real period |
R |
2.2742920744483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1470d6 47040ee6 35280dx6 58800fc6 |
Quadratic twists by: -4 8 -3 5 |