Atkin-Lehner |
2+ 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264d |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-2.1966303043845E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 11+ -3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-900369,-398424015] |
[a1,a2,a3,a4,a6] |
Generators |
[9023:852056:1] |
Generators of the group modulo torsion |
j |
-4926810476359662928/1340716738515957 |
j-invariant |
L |
5.1808352068361 |
L(r)(E,1)/r! |
Ω |
0.076410231204615 |
Real period |
R |
8.4753624268457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264ch1 6204f1 |
Quadratic twists by: -4 8 |