Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394l |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
130051398464064 = 26 · 34 · 72 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38601,-2883195] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:279:1] |
Generators of the group modulo torsion |
j |
3590714269297/73410624 |
j-invariant |
L |
3.3442900580755 |
L(r)(E,1)/r! |
Ω |
0.34102657271115 |
Real period |
R |
2.4516345160245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
714f2 |
Quadratic twists by: -11 |