Atkin-Lehner |
3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bl |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-222430201875 = -1 · 311 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2775,-60669] |
[a1,a2,a3,a4,a6] |
Generators |
[498:703:8] |
Generators of the group modulo torsion |
j |
-5186867200/488187 |
j-invariant |
L |
12.949344084361 |
L(r)(E,1)/r! |
Ω |
0.3271414287458 |
Real period |
R |
4.9479150857123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525bc1 64575bi1 |
Quadratic twists by: -3 5 |