Atkin-Lehner |
2+ 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bx |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1377163233022500 = 22 · 38 · 54 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125154,16979328] |
[a1,a2,a3,a4,a6] |
Generators |
[327:-3471:1] [-303:5349:1] |
Generators of the group modulo torsion |
j |
297394093761051169/1889112802500 |
j-invariant |
L |
9.5081027525515 |
L(r)(E,1)/r! |
Ω |
0.48342255695052 |
Real period |
R |
0.61463456088638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270cp2 |
Quadratic twists by: -3 |