Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400bc |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
5765625000000 = 26 · 32 · 512 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5158,-85312] |
[a1,a2,a3,a4,a6] |
Generators |
[98:600:1] |
Generators of the group modulo torsion |
j |
15179306176/5765625 |
j-invariant |
L |
5.5972691940957 |
L(r)(E,1)/r! |
Ω |
0.58162110293485 |
Real period |
R |
2.405891554454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400e1 19680o1 |
Quadratic twists by: -4 5 |