Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89352t |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
75038524416 = 210 · 310 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301539,-63732850] |
[a1,a2,a3,a4,a6] |
Generators |
[639115605368:204708636047275:6229504] |
Generators of the group modulo torsion |
j |
4061876342822788/100521 |
j-invariant |
L |
4.4763435171442 |
L(r)(E,1)/r! |
Ω |
0.20373408012344 |
Real period |
R |
21.971500858459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29784b1 |
Quadratic twists by: -3 |