Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600bn |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5336644500000000 = 28 · 36 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51375,-2781250] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:252:1] |
Generators of the group modulo torsion |
j |
41141648/14641 |
j-invariant |
L |
4.8342944688421 |
L(r)(E,1)/r! |
Ω |
0.32644390464549 |
Real period |
R |
3.7022398029538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800t2 4400j2 39600bl2 |
Quadratic twists by: -4 -3 5 |