Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100h |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
843785606250000 = 24 · 39 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364604625,-2679670366875] |
[a1,a2,a3,a4,a6] |
j |
43573146510889416960/6859 |
j-invariant |
L |
1.8656826429048 |
L(r)(E,1)/r! |
Ω |
0.034549678572311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400dq2 17100g1 17100b2 |
Quadratic twists by: -4 -3 5 |