Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680c |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9348877405811E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57498363,-165778690662] |
[a1,a2,a3,a4,a6] |
Generators |
[-8949165407343:-91640879950950:2033901163] |
Generators of the group modulo torsion |
j |
216092050322508/3016755625 |
j-invariant |
L |
8.0837188464256 |
L(r)(E,1)/r! |
Ω |
0.054872244007544 |
Real period |
R |
18.414862957246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840bg2 121680h2 9360e2 |
Quadratic twists by: -4 -3 13 |