Atkin-Lehner |
2+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
50464a |
Isogeny class |
Conductor |
50464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
122728448 = 212 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ 2 2 4 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417,3377] |
[a1,a2,a3,a4,a6] |
Generators |
[353:6612:1] |
Generators of the group modulo torsion |
j |
1962515008/29963 |
j-invariant |
L |
11.865265407261 |
L(r)(E,1)/r! |
Ω |
1.8641201231864 |
Real period |
R |
3.1825377720174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50464b2 100928be1 |
Quadratic twists by: -4 8 |