Atkin-Lehner |
2- 3+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544i |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-192285060870144 = -1 · 212 · 3 · 118 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13808,-239360] |
[a1,a2,a3,a4,a6] |
Generators |
[573778842:6681713170:27270901] |
Generators of the group modulo torsion |
j |
71076272953967/46944594939 |
j-invariant |
L |
6.9334011338105 |
L(r)(E,1)/r! |
Ω |
0.32276977075317 |
Real period |
R |
10.740474731623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2409f4 115632be3 |
Quadratic twists by: -4 -3 |