Atkin-Lehner |
3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325d |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2804165846019140625 = 32 · 58 · 118 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-111637625,-454055025000] |
[a1,a2,a3,a4,a6] |
j |
9847714701499224883589521/179466614145225 |
j-invariant |
L |
1.4862671740398 |
L(r)(E,1)/r! |
Ω |
0.046445849168423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10065l5 |
Quadratic twists by: 5 |