Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350c |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-1.1016220806E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14136567,25956117341] |
[a1,a2,a3,a4,a6] |
j |
-1015884369980369163/358196480000000 |
j-invariant |
L |
1.5912239824691 |
L(r)(E,1)/r! |
Ω |
0.099451498904321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800ci1 10350ba1 2070j1 |
Quadratic twists by: -4 -3 5 |