Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760k |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
333396000000 = 28 · 35 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8780,-312528] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:20:1] |
Generators of the group modulo torsion |
j |
852555455152/3796875 |
j-invariant |
L |
4.0498372106793 |
L(r)(E,1)/r! |
Ω |
0.49333074346081 |
Real period |
R |
1.3681954295236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5880bh2 47040ft2 35280ba2 58800cr2 |
Quadratic twists by: -4 8 -3 5 |