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 |
35129803161600 = 214 · 36 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14520,605268] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:882:1] |
Generators of the group modulo torsion |
j |
702595369/72900 |
j-invariant |
L |
5.7626802096424 |
L(r)(E,1)/r! |
Ω |
0.6334586786792 |
Real period |
R |
0.75809735814943 |
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 |
1470d2 47040ee2 35280dx2 58800fc2 |
Quadratic twists by: -4 8 -3 5 |