Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366j |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17749822647947264 = 212 · 710 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31041068,66573858000] |
[a1,a2,a3,a4,a6] |
Generators |
[3131:6838:1] |
Generators of the group modulo torsion |
j |
28115476317271727409033/150871003136 |
j-invariant |
L |
2.1101934810631 |
L(r)(E,1)/r! |
Ω |
0.26417287078568 |
Real period |
R |
1.9969816311088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338c2 |
Quadratic twists by: -7 |