Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472cq |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
153131827344832 = 26 · 73 · 178 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -2 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165404,25940458] |
[a1,a2,a3,a4,a6] |
Generators |
[1818:1529:8] |
Generators of the group modulo torsion |
j |
1120967488/343 |
j-invariant |
L |
3.2450273776933 |
L(r)(E,1)/r! |
Ω |
0.56515518689979 |
Real period |
R |
5.7418342239625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999497761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472dq1 64736c1 129472cx1 |
Quadratic twists by: -4 8 17 |