Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456l |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
540836352 = 29 · 38 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1744,28600] |
[a1,a2,a3,a4,a6] |
Generators |
[41:156:1] |
Generators of the group modulo torsion |
j |
1146415874696/1056321 |
j-invariant |
L |
2.810345853458 |
L(r)(E,1)/r! |
Ω |
1.6339816577673 |
Real period |
R |
3.439874419763 |
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 |
15456t2 30912ca4 46368l4 108192ce4 |
Quadratic twists by: -4 8 -3 -7 |