Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200g |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3690000000000 = 210 · 32 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197008,33722512] |
[a1,a2,a3,a4,a6] |
Generators |
[262:-150:1] [-32:6324:1] |
Generators of the group modulo torsion |
j |
52851524654884/230625 |
j-invariant |
L |
8.2289413481414 |
L(r)(E,1)/r! |
Ω |
0.69426999297854 |
Real period |
R |
1.4815816309514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600q4 9840j3 |
Quadratic twists by: -4 5 |