Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600cg |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1968128000000 = 217 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3233,22337] |
[a1,a2,a3,a4,a6] |
Generators |
[19389:517600:27] |
Generators of the group modulo torsion |
j |
1825346/961 |
j-invariant |
L |
9.4732373642226 |
L(r)(E,1)/r! |
Ω |
0.72851007640017 |
Real period |
R |
6.5017888366207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600l2 12400i2 1984l2 |
Quadratic twists by: -4 8 5 |