Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400j |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-845152000 = -1 · 28 · 53 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,212,-672] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] [8:40:1] |
Generators of the group modulo torsion |
j |
32774128/26411 |
j-invariant |
L |
5.0265407691028 |
L(r)(E,1)/r! |
Ω |
0.87871066966898 |
Real period |
R |
2.8601796601587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800x2 123200da2 15400x2 107800bd2 |
Quadratic twists by: -4 8 5 -7 |