Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600bw |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15745024000000 = 220 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33100,-2310000] |
[a1,a2,a3,a4,a6] |
Generators |
[-75239710:-58867200:704969] |
Generators of the group modulo torsion |
j |
979146657/3844 |
j-invariant |
L |
6.3528728300414 |
L(r)(E,1)/r! |
Ω |
0.35403411285616 |
Real period |
R |
8.9721196338759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49600a2 12400r2 1984j2 |
Quadratic twists by: -4 8 5 |