Atkin-Lehner |
2- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
73700d |
Isogeny class |
Conductor |
73700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1058400 |
Modular degree for the optimal curve |
Δ |
-296736467500000000 = -1 · 28 · 510 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123333,-31020463] |
[a1,a2,a3,a4,a6] |
Generators |
[204212392:7261135959:148877] |
Generators of the group modulo torsion |
j |
-82989875200/118694587 |
j-invariant |
L |
9.6809383142058 |
L(r)(E,1)/r! |
Ω |
0.12111373241667 |
Real period |
R |
13.322103835376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73700i1 |
Quadratic twists by: 5 |