Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200g |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-6.48929319075E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 6 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288062708,-1881726588588] |
[a1,a2,a3,a4,a6] |
j |
-1057413430346007240400/25957172763 |
j-invariant |
L |
1.8323051339678 |
L(r)(E,1)/r! |
Ω |
0.018323051340692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400ba1 120600cc1 40200bl1 |
Quadratic twists by: -4 -3 5 |