Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800s |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-48608000 = -1 · 28 · 53 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 0 -6 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,-1300] |
[a1,a2,a3,a4,a6] |
j |
-36799488/1519 |
j-invariant |
L |
2.4732916486535 |
L(r)(E,1)/r! |
Ω |
0.61832290713893 |
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 |
43400m1 86800u1 |
Quadratic twists by: -4 5 |