Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920n |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6209330400000000 = -1 · 211 · 38 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33600,2947500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:1950:1] |
Generators of the group modulo torsion |
j |
2048324060764798/3031899609375 |
j-invariant |
L |
4.1909402411586 |
L(r)(E,1)/r! |
Ω |
0.28780150417833 |
Real period |
R |
1.8202390277301 |
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 |
21840s5 87360ch5 32760n5 54600t5 |
Quadratic twists by: -4 8 -3 5 |