Atkin-Lehner |
3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84825g |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-14138933984296875 = -1 · 39 · 57 · 13 · 294 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 3 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,10800,-5704594] |
[a1,a2,a3,a4,a6] |
j |
452984832/45973265 |
j-invariant |
L |
1.5032198597988 |
L(r)(E,1)/r! |
Ω |
0.18790248139564 |
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 |
84825h1 16965a1 |
Quadratic twists by: -3 5 |