Atkin-Lehner |
3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86151b |
Isogeny class |
Conductor |
86151 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5193216 |
Modular degree for the optimal curve |
Δ |
-3.1817998480785E+19 |
Discriminant |
Eigenvalues |
1 3+ 4 5 5 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,546682,-222141495] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/2951791713 |
j-invariant |
L |
5.4611518414837 |
L(r)(E,1)/r! |
Ω |
0.10922303703389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833c1 |
Quadratic twists by: -47 |