Atkin-Lehner |
2+ 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264c |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31659682627584 = -1 · 216 · 32 · 11 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5503,218625] |
[a1,a2,a3,a4,a6] |
Generators |
[67:940:1] |
Generators of the group modulo torsion |
j |
281166385532/483088419 |
j-invariant |
L |
3.7991801270865 |
L(r)(E,1)/r! |
Ω |
0.45096358493624 |
Real period |
R |
4.2122914625691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264cg3 12408a4 |
Quadratic twists by: -4 8 |