Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850u |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
1430363610000000000 = 210 · 39 · 510 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-275507276,-1760165021302] |
[a1,a2,a3,a4,a6] |
Generators |
[75057:19972471:1] |
Generators of the group modulo torsion |
j |
148014036452141130164012209/91543271040000 |
j-invariant |
L |
7.2276626995691 |
L(r)(E,1)/r! |
Ω |
0.037056661183244 |
Real period |
R |
5.4178763512172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770x1 |
Quadratic twists by: 5 |