Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400g |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
19155840 |
Modular degree for the optimal curve |
Δ |
-4.2777737013478E+24 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 1 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52045208,175480867037] |
[a1,a2,a3,a4,a6] |
Generators |
[-3902:564921:1] |
Generators of the group modulo torsion |
j |
-99780560707977683200/27377751688625863 |
j-invariant |
L |
10.233325076689 |
L(r)(E,1)/r! |
Ω |
0.073881813011209 |
Real period |
R |
1.5739703752754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85400bf1 |
Quadratic twists by: 5 |