Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314bp |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
127700166477312 = 29 · 38 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-271382,54480165] |
[a1,a2,a3,a4,a6] |
Generators |
[305:-261:1] [-487:8667:1] |
Generators of the group modulo torsion |
j |
2278031600817539/131609088 |
j-invariant |
L |
8.9576095819781 |
L(r)(E,1)/r! |
Ω |
0.55485005912893 |
Real period |
R |
0.22422498141114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438c2 28314m2 |
Quadratic twists by: -3 -11 |