Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
115989f |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
578592 |
Modular degree for the optimal curve |
Δ |
4958638567284141 = 33 · 23 · 418 |
Discriminant |
Eigenvalues |
0 3+ 2 -2 -5 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45947,-1685374] |
[a1,a2,a3,a4,a6] |
Generators |
[12330:479081:8] |
Generators of the group modulo torsion |
j |
1343488/621 |
j-invariant |
L |
3.9307870599838 |
L(r)(E,1)/r! |
Ω |
0.34085361065851 |
Real period |
R |
3.844061840606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999646085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115989j1 |
Quadratic twists by: 41 |