Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bx |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
3430644840000 = 26 · 36 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11090,-444312] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:90:1] |
Generators of the group modulo torsion |
j |
20034997696/455625 |
j-invariant |
L |
6.9546543044134 |
L(r)(E,1)/r! |
Ω |
0.46586996718456 |
Real period |
R |
1.244026372574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520l1 47040r2 70560bb1 117600y1 |
Quadratic twists by: -4 8 -3 5 |