Atkin-Lehner |
2+ 3- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410m |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
7225344 |
Modular degree for the optimal curve |
Δ |
5.6853739953416E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32118669,-70053337067] |
[a1,a2,a3,a4,a6] |
j |
5026536155704292497837009/77988669346250000 |
j-invariant |
L |
1.7756959479289 |
L(r)(E,1)/r! |
Ω |
0.063417712585249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490h1 |
Quadratic twists by: -3 |