Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960dq |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
465992663040 = 214 · 39 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2268,25488] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:216:1] |
Generators of the group modulo torsion |
j |
4000752/1445 |
j-invariant |
L |
4.2769968884034 |
L(r)(E,1)/r! |
Ω |
0.85720443857562 |
Real period |
R |
1.2473678086371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960n2 12240bl2 48960dt2 |
Quadratic twists by: -4 8 -3 |