Atkin-Lehner |
3- 7- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35511d |
Isogeny class |
Conductor |
35511 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1181946454983 = 310 · 7 · 192 · 892 |
Discriminant |
Eigenvalues |
1 3- 4 7- -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-295814,-61950931] |
[a1,a2,a3,a4,a6] |
Generators |
[43086:3123713:8] |
Generators of the group modulo torsion |
j |
2862712759606622514649/1181946454983 |
j-invariant |
L |
10.909556527825 |
L(r)(E,1)/r! |
Ω |
0.20471282914185 |
Real period |
R |
5.3292002135649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533k2 |
Quadratic twists by: -3 |