Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200by |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1394288640000000 = 217 · 34 · 57 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344408,-77660688] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:18:1] |
Generators of the group modulo torsion |
j |
70593496254289/21785760 |
j-invariant |
L |
4.3651298584982 |
L(r)(E,1)/r! |
Ω |
0.19707847139522 |
Real period |
R |
2.7686496066753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150p2 9840x2 |
Quadratic twists by: -4 5 |