Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824v |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4983552 = 28 · 33 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11535,476842] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:954:1] [14:564:1] |
Generators of the group modulo torsion |
j |
24556856886000/721 |
j-invariant |
L |
11.218391147766 |
L(r)(E,1)/r! |
Ω |
1.7780813227404 |
Real period |
R |
12.618535500308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25956c2 103824u2 |
Quadratic twists by: -4 -3 |