Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514u |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6638262640585156 = 22 · 78 · 194 · 472 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122289,-15955747] |
[a1,a2,a3,a4,a6] |
Generators |
[169258626:5122786555:157464] |
Generators of the group modulo torsion |
j |
1719073016770257/56424301444 |
j-invariant |
L |
12.494162864023 |
L(r)(E,1)/r! |
Ω |
0.25581535458623 |
Real period |
R |
12.210137742962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991779 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12502c2 |
Quadratic twists by: -7 |