Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992f |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-368022528 = -1 · 210 · 36 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 -4 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-1150] |
[a1,a2,a3,a4,a6] |
Generators |
[19:54:1] |
Generators of the group modulo torsion |
j |
-470596/493 |
j-invariant |
L |
3.9502796873502 |
L(r)(E,1)/r! |
Ω |
0.6581018606107 |
Real period |
R |
1.5006338394956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35496c1 7888a1 |
Quadratic twists by: -4 -3 |