Atkin-Lehner |
2+ 3+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10578c |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
521543718273024 = 220 · 38 · 41 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20281,-177755] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:538:1] |
Generators of the group modulo torsion |
j |
922625101256316697/521543718273024 |
j-invariant |
L |
2.4127263738466 |
L(r)(E,1)/r! |
Ω |
0.43125213977867 |
Real period |
R |
2.7973500317992 |
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 |
84624w1 31734n1 |
Quadratic twists by: -4 -3 |