Atkin-Lehner |
2+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85514h |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3773952 |
Modular degree for the optimal curve |
Δ |
-347537100987574784 = -1 · 29 · 112 · 139 · 232 |
Discriminant |
Eigenvalues |
2+ -3 3 3 11- 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-427348,111312592] |
[a1,a2,a3,a4,a6] |
Generators |
[387:1750:1] |
Generators of the group modulo torsion |
j |
-1788171617409633/72001419776 |
j-invariant |
L |
4.2303380430574 |
L(r)(E,1)/r! |
Ω |
0.30090826427987 |
Real period |
R |
1.7573204739483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6578d1 |
Quadratic twists by: 13 |