Atkin-Lehner |
3+ 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
10815b |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
579074282745 = 3 · 5 · 73 · 1034 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27661,1758818] |
[a1,a2,a3,a4,a6] |
j |
2340606050777041489/579074282745 |
j-invariant |
L |
0.89628708312448 |
L(r)(E,1)/r! |
Ω |
0.89628708312448 |
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 |
32445o4 54075u4 75705w4 |
Quadratic twists by: -3 5 -7 |