Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400be |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-9963000000000000 = -1 · 212 · 35 · 512 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -5 -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-617133,-186869637] |
[a1,a2,a3,a4,a6] |
Generators |
[1113:22500:1] |
Generators of the group modulo torsion |
j |
-406144664367616/155671875 |
j-invariant |
L |
5.7731685670223 |
L(r)(E,1)/r! |
Ω |
0.085165720046842 |
Real period |
R |
3.3893734226114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400g1 19680u1 |
Quadratic twists by: -4 5 |