Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73260b |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
80109810000 = 24 · 39 · 54 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3888,92313] |
[a1,a2,a3,a4,a6] |
Generators |
[64:325:1] |
Generators of the group modulo torsion |
j |
20639121408/254375 |
j-invariant |
L |
6.4650727775002 |
L(r)(E,1)/r! |
Ω |
1.0876382485432 |
Real period |
R |
1.9813796195669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73260f1 |
Quadratic twists by: -3 |