Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304l |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
296068608 = 29 · 34 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76152,8063208] |
[a1,a2,a3,a4,a6] |
Generators |
[724785:-4347728:3375] |
Generators of the group modulo torsion |
j |
95390120097279944/578259 |
j-invariant |
L |
10.32257452397 |
L(r)(E,1)/r! |
Ω |
1.1814246885808 |
Real period |
R |
8.7373953019389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62304t4 124608j4 |
Quadratic twists by: -4 8 |