Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680ca |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.6480131176601E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-644042136,-1195288777836] |
[a1,a2,a3,a4,a6] |
Generators |
[127730337579980892234:72453223479464202353664:394526346484607] |
Generators of the group modulo torsion |
j |
7212845172419315607828635929/4023469525537440000000000 |
j-invariant |
L |
7.8473057071689 |
L(r)(E,1)/r! |
Ω |
0.03216709426961 |
Real period |
R |
30.494305879978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210d2 |
Quadratic twists by: -4 |