Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jk |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-97785144000 = -1 · 26 · 312 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21923,-1256817] |
[a1,a2,a3,a4,a6] |
Generators |
[358:6075:1] |
Generators of the group modulo torsion |
j |
-145664420880896/12223143 |
j-invariant |
L |
9.8231903949577 |
L(r)(E,1)/r! |
Ω |
0.19617367400464 |
Real period |
R |
2.0864145167069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400gy1 55200s1 110400gx1 |
Quadratic twists by: -4 8 5 |