Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20532i |
Isogeny class |
Conductor |
20532 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
20592 |
Modular degree for the optimal curve |
Δ |
-286125000048 = -1 · 24 · 311 · 29 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1626,5625] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:27:1] [14:177:1] |
Generators of the group modulo torsion |
j |
29696018978048/17882812503 |
j-invariant |
L |
7.3464108274149 |
L(r)(E,1)/r! |
Ω |
0.5976701254163 |
Real period |
R |
0.18623861261813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128v1 61596f1 |
Quadratic twists by: -4 -3 |