Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024p |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
1168849766163939328 = 226 · 7 · 174 · 313 |
Discriminant |
Eigenvalues |
2- 0 4 7- 2 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-266803,10390770] |
[a1,a2,a3,a4,a6] |
Generators |
[-217305467280:5410900651047:681472000] |
Generators of the group modulo torsion |
j |
512785681542817929/285363712442368 |
j-invariant |
L |
8.1889080192946 |
L(r)(E,1)/r! |
Ω |
0.2374139466581 |
Real period |
R |
17.246055116904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378d1 |
Quadratic twists by: -4 |