Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700w |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-275685018750000 = -1 · 24 · 312 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10500,683125] |
[a1,a2,a3,a4,a6] |
Generators |
[251:4374:1] |
Generators of the group modulo torsion |
j |
28098560/60507 |
j-invariant |
L |
4.6438266146338 |
L(r)(E,1)/r! |
Ω |
0.38129103114509 |
Real period |
R |
3.044804515152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900p1 74700c1 |
Quadratic twists by: -3 5 |