Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880cw |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-19391646105600 = -1 · 215 · 3 · 52 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,-211743] |
[a1,a2,a3,a4,a6] |
j |
-547343432/591786075 |
j-invariant |
L |
2.4767966637721 |
L(r)(E,1)/r! |
Ω |
0.30959958304267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50880ec3 25440l2 |
Quadratic twists by: -4 8 |