Atkin-Lehner |
2- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024z |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-967065172312064 = -1 · 217 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17544,1193584] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-1568:1] |
Generators of the group modulo torsion |
j |
145789036355591/236099895584 |
j-invariant |
L |
5.1889420525 |
L(r)(E,1)/r! |
Ω |
0.33794870552113 |
Real period |
R |
0.27418267327493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378f1 |
Quadratic twists by: -4 |