Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700i |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19872 |
Modular degree for the optimal curve |
Δ |
-485548800 = -1 · 28 · 3 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,1017] |
[a1,a2,a3,a4,a6] |
Generators |
[16:77:1] |
Generators of the group modulo torsion |
j |
5120000/75867 |
j-invariant |
L |
5.9481023700218 |
L(r)(E,1)/r! |
Ω |
1.2308498044382 |
Real period |
R |
1.610838936592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700bp1 |
Quadratic twists by: 5 |