Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15008m |
Isogeny class |
Conductor |
15008 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
173036266816 = 26 · 79 · 67 |
Discriminant |
Eigenvalues |
2- -1 3 7- 2 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1394,1492] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:98:1] |
Generators of the group modulo torsion |
j |
4684287775168/2703691669 |
j-invariant |
L |
5.1183724986405 |
L(r)(E,1)/r! |
Ω |
0.86414934572502 |
Real period |
R |
0.32905657929264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15008j1 30016by1 105056j1 |
Quadratic twists by: -4 8 -7 |