Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62300u |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
62300000000 = 28 · 58 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10708,429912] |
[a1,a2,a3,a4,a6] |
Generators |
[1659:350:27] |
Generators of the group modulo torsion |
j |
1357967440/623 |
j-invariant |
L |
9.9218250622988 |
L(r)(E,1)/r! |
Ω |
1.0901504424659 |
Real period |
R |
3.033778542907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300e1 |
Quadratic twists by: 5 |