Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700x |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
59400 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-19375] |
[a1,a2,a3,a4,a6] |
Generators |
[50:425:1] |
Generators of the group modulo torsion |
j |
81920/83 |
j-invariant |
L |
7.9675121774355 |
L(r)(E,1)/r! |
Ω |
0.51749595014367 |
Real period |
R |
1.7106976983753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8300f1 74700g1 |
Quadratic twists by: -3 5 |