Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210by |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-652992383608320 = -1 · 29 · 3 · 5 · 711 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38270,3116987] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:2443:1] |
Generators of the group modulo torsion |
j |
-52687982361169/5550343680 |
j-invariant |
L |
10.051683577244 |
L(r)(E,1)/r! |
Ω |
0.49855896470104 |
Real period |
R |
0.56004094296401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030u1 |
Quadratic twists by: -7 |