Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bj |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10103399163648 = 28 · 312 · 7 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8679,271042] |
[a1,a2,a3,a4,a6] |
Generators |
[30890:180063:1000] |
Generators of the group modulo torsion |
j |
387405055312/54137727 |
j-invariant |
L |
8.5516348250218 |
L(r)(E,1)/r! |
Ω |
0.69609867380817 |
Real period |
R |
6.1425449806943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25956j2 34608t2 |
Quadratic twists by: -4 -3 |