Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350t |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4216984335000000 = -1 · 26 · 313 · 57 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37458,1396116] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:978:1] |
Generators of the group modulo torsion |
j |
510273943271/370215360 |
j-invariant |
L |
2.8796227297245 |
L(r)(E,1)/r! |
Ω |
0.27868881516882 |
Real period |
R |
1.2915941423681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800dl1 3450u1 2070r1 |
Quadratic twists by: -4 -3 5 |