Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298t |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.8482248252494E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-493596351,-4242251826675] |
[a1,a2,a3,a4,a6] |
Generators |
[583698543205879309847859273:39933665739895858239352417122:20924231733640024597261] |
Generators of the group modulo torsion |
j |
-10298071306410575356297/60769798505543808 |
j-invariant |
L |
4.4557408258181 |
L(r)(E,1)/r! |
Ω |
0.016009338098689 |
Real period |
R |
34.79017053578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bu2 738h2 |
Quadratic twists by: -3 -11 |