Atkin-Lehner |
2- 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306p |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
-60815166427136 = -1 · 212 · 116 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -1 1 2 11- -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1259310,543410539] |
[a1,a2,a3,a4,a6] |
Generators |
[649:-257:1] |
Generators of the group modulo torsion |
j |
-124671038996895481/34328576 |
j-invariant |
L |
9.0772821165387 |
L(r)(E,1)/r! |
Ω |
0.49930404787518 |
Real period |
R |
0.75749453543377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986b1 |
Quadratic twists by: -11 |