Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600j |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2028000000 = -1 · 28 · 3 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,912] |
[a1,a2,a3,a4,a6] |
j |
686000/507 |
j-invariant |
L |
1.8782321379941 |
L(r)(E,1)/r! |
Ω |
0.93911606899707 |
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 |
7800w2 62400gt2 46800bh2 624d2 |
Quadratic twists by: -4 8 -3 5 |