Atkin-Lehner |
3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325b |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2819063671875 = 33 · 58 · 112 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9192,-327159] |
[a1,a2,a3,a4,a6] |
Generators |
[-1680:1687:27] |
Generators of the group modulo torsion |
j |
203608800387/6682225 |
j-invariant |
L |
9.6540418537753 |
L(r)(E,1)/r! |
Ω |
0.4885605133562 |
Real period |
R |
4.9400440455363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325i2 23265b2 |
Quadratic twists by: -3 5 |