Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448l |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-332792856576 = -1 · 226 · 32 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1864,-40976] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2790:1] |
Generators of the group modulo torsion |
j |
-174958262857/81248256 |
j-invariant |
L |
2.9758746792119 |
L(r)(E,1)/r! |
Ω |
0.35534531766968 |
Real period |
R |
4.1872996930527 |
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 |
3306e1 105792bt1 79344bg1 |
Quadratic twists by: -4 8 -3 |