Atkin-Lehner |
3- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425r |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
-1223135448046875 = -1 · 33 · 58 · 114 · 892 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 11- 3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13958,1793744] |
[a1,a2,a3,a4,a6] |
Generators |
[1108:36712:1] |
Generators of the group modulo torsion |
j |
-769953280000/3131226747 |
j-invariant |
L |
4.4308431542328 |
L(r)(E,1)/r! |
Ω |
0.42349122397237 |
Real period |
R |
0.14531467185339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73425d1 |
Quadratic twists by: 5 |