Atkin-Lehner |
2+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1862c |
Isogeny class |
Conductor |
1862 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-123999854905024 = -1 · 26 · 710 · 193 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -3 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8354,-444492] |
[a1,a2,a3,a4,a6] |
j |
228215687/438976 |
j-invariant |
L |
2.4560514990298 |
L(r)(E,1)/r! |
Ω |
0.30700643737872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14896bf2 59584bo2 16758bh2 46550cd2 |
Quadratic twists by: -4 8 -3 5 |