Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952k |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31950540880128 = 28 · 32 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138636,19912788] |
[a1,a2,a3,a4,a6] |
j |
238481570896/25857 |
j-invariant |
L |
2.5260397038718 |
L(r)(E,1)/r! |
Ω |
0.63150992676304 |
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 |
5304i2 |
Quadratic twists by: 13 |