Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705c |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
518930955884390625 = 32 · 56 · 178 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-884346,-318583482] |
[a1,a2,a3,a4,a6] |
j |
3168814830315841/21498890625 |
j-invariant |
L |
0.31149551659142 |
L(r)(E,1)/r! |
Ω |
0.15574766743813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5865h2 |
Quadratic twists by: 17 |