Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176y |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-25222355278848 = -1 · 210 · 36 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,241670] |
[a1,a2,a3,a4,a6] |
j |
-4/7 |
j-invariant |
L |
1.0802924817015 |
L(r)(E,1)/r! |
Ω |
0.54014624144159 |
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 |
9464g1 504h1 |
Quadratic twists by: -3 13 |