Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
28200m |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
100915956000000 = 28 · 35 · 56 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24633,-1415637] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:282:1] |
Generators of the group modulo torsion |
j |
413269421056/25228989 |
j-invariant |
L |
6.0390016935301 |
L(r)(E,1)/r! |
Ω |
0.38253820697231 |
Real period |
R |
0.26311104718695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400a1 84600bo1 1128b1 |
Quadratic twists by: -4 -3 5 |