Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640c |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5000053766400 = 28 · 32 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4396,-30380] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:242:1] [-42:280:1] |
Generators of the group modulo torsion |
j |
20720464/11025 |
j-invariant |
L |
9.1913679568671 |
L(r)(E,1)/r! |
Ω |
0.62293970230645 |
Real period |
R |
3.6887069175202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
840e2 |
Quadratic twists by: -11 |