Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800eb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-972810168750000 = -1 · 24 · 33 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28583,-2399412] |
[a1,a2,a3,a4,a6] |
Generators |
[408:7350:1] |
Generators of the group modulo torsion |
j |
-71680/27 |
j-invariant |
L |
7.2806792820738 |
L(r)(E,1)/r! |
Ω |
0.18020725793793 |
Real period |
R |
1.4963591994571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400y1 58800k1 58800cg1 |
Quadratic twists by: -4 5 -7 |