Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200ba |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2690010000000000 = -1 · 210 · 38 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4992,-2490012] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3750:1] |
Generators of the group modulo torsion |
j |
859687196/168125625 |
j-invariant |
L |
6.6003558040111 |
L(r)(E,1)/r! |
Ω |
0.21434185068481 |
Real period |
R |
1.9245995890757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600w3 9840d4 |
Quadratic twists by: -4 5 |