Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520n |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1694145600 = 26 · 32 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-506,3744] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:90:1] |
Generators of the group modulo torsion |
j |
1906624/225 |
j-invariant |
L |
5.8810399788615 |
L(r)(E,1)/r! |
Ω |
1.444586153004 |
Real period |
R |
2.0355449090495 |
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 |
23520bd1 47040bd2 70560dv1 117600el1 |
Quadratic twists by: -4 8 -3 5 |