Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840i |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2981682000 = 24 · 32 · 53 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-513371,-141749046] |
[a1,a2,a3,a4,a6] |
Generators |
[53028:99123:64] |
Generators of the group modulo torsion |
j |
935187237694208395264/186355125 |
j-invariant |
L |
5.7731251525802 |
L(r)(E,1)/r! |
Ω |
0.17835761288821 |
Real period |
R |
8.092064391146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680d1 |
Quadratic twists by: -4 |