Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714m |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
86381933683968 = 28 · 312 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158625,-24273027] |
[a1,a2,a3,a4,a6] |
Generators |
[6354:502263:1] |
Generators of the group modulo torsion |
j |
275602131611533/53934336 |
j-invariant |
L |
6.4630749526374 |
L(r)(E,1)/r! |
Ω |
0.23922778412481 |
Real period |
R |
3.3770507553336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238r2 51714bb2 |
Quadratic twists by: -3 13 |