Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050d |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2665284492003125000 = 23 · 58 · 318 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25611150,49876767500] |
[a1,a2,a3,a4,a6] |
j |
133974081659809/192200 |
j-invariant |
L |
1.7399263371464 |
L(r)(E,1)/r! |
Ω |
0.21749079213575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9610b2 1550c2 |
Quadratic twists by: 5 -31 |