Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520u |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
821250000000000000 = 213 · 32 · 516 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242336,14318964] |
[a1,a2,a3,a4,a6] |
j |
384254853459661729/200500488281250 |
j-invariant |
L |
0.99279960218553 |
L(r)(E,1)/r! |
Ω |
0.24819990054638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2190j3 70080by4 52560bq4 87600bg4 |
Quadratic twists by: -4 8 -3 5 |