Atkin-Lehner |
3- 5- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
85905h |
Isogeny class |
Conductor |
85905 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2045952 |
Modular degree for the optimal curve |
Δ |
793703408765625 = 37 · 56 · 234 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 2 -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13064702,18179226204] |
[a1,a2,a3,a4,a6] |
Generators |
[2312:-19269:1] [-448:154956:1] |
Generators of the group modulo torsion |
j |
338294297402779752971929/1088756390625 |
j-invariant |
L |
7.7185958613715 |
L(r)(E,1)/r! |
Ω |
0.33444127631857 |
Real period |
R |
0.96162819501068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28635a1 |
Quadratic twists by: -3 |