Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760p |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
332052537600 = 28 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1780,8800] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:120:1] |
Generators of the group modulo torsion |
j |
20720464/11025 |
j-invariant |
L |
4.4461633250201 |
L(r)(E,1)/r! |
Ω |
0.8431750066664 |
Real period |
R |
2.6365601979823 |
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 |
5880bj2 47040gi2 35280br2 58800di2 |
Quadratic twists by: -4 8 -3 5 |