Atkin-Lehner |
2+ 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24168j |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-144226388318976 = -1 · 28 · 34 · 195 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 -3 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23897,1526859] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:318:1] [199:-2166:1] |
Generators of the group modulo torsion |
j |
-5895655126494208/563384329371 |
j-invariant |
L |
7.8979560967723 |
L(r)(E,1)/r! |
Ω |
0.5666711937316 |
Real period |
R |
0.087109113981559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336g1 72504x1 |
Quadratic twists by: -4 -3 |