Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016c |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
15127650880704 = 26 · 316 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 6 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37204,-2743346] |
[a1,a2,a3,a4,a6] |
Generators |
[248716680311:-4016180245446:656234909] |
Generators of the group modulo torsion |
j |
88986539547097408/236369545011 |
j-invariant |
L |
5.272214842636 |
L(r)(E,1)/r! |
Ω |
0.34381158386675 |
Real period |
R |
15.334605028266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016bh1 31008g2 |
Quadratic twists by: -4 8 |