Atkin-Lehner |
2- 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86580d |
Isogeny class |
Conductor |
86580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-175584240 = -1 · 24 · 33 · 5 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 1 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,-3339] |
[a1,a2,a3,a4,a6] |
j |
-18562998528/406445 |
j-invariant |
L |
3.1653664923033 |
L(r)(E,1)/r! |
Ω |
0.52756107923214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86580b1 |
Quadratic twists by: -3 |