Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232c |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2669422030848 = 212 · 33 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:220:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
8.656850929971 |
L(r)(E,1)/r! |
Ω |
0.68336454682288 |
Real period |
R |
3.1669959211349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232c2 83232bb2 288a2 |
Quadratic twists by: -4 -3 17 |