Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bv |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
223646720000000 = 216 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-172408,27487188] |
[a1,a2,a3,a4,a6] |
Generators |
[262:-608:1] |
Generators of the group modulo torsion |
j |
8855610342769/3494480 |
j-invariant |
L |
5.1356848011893 |
L(r)(E,1)/r! |
Ω |
0.54984166324867 |
Real period |
R |
1.1675372066942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450d2 16720v2 |
Quadratic twists by: -4 5 |