Atkin-Lehner |
2- 3+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89838p |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-11108289024 = -1 · 29 · 33 · 72 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 -3 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-368,5843] |
[a1,a2,a3,a4,a6] |
Generators |
[3:67:1] [21:73:1] |
Generators of the group modulo torsion |
j |
-203608800387/411418112 |
j-invariant |
L |
15.290154274096 |
L(r)(E,1)/r! |
Ω |
1.1373811412838 |
Real period |
R |
0.18671248018799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89838c1 |
Quadratic twists by: -3 |