Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048b |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
763790819328 = 216 · 37 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3180,-54736] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:92:1] [-35:117:1] |
Generators of the group modulo torsion |
j |
74438500/15987 |
j-invariant |
L |
8.8505939126909 |
L(r)(E,1)/r! |
Ω |
0.64544197095151 |
Real period |
R |
6.8562274464759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048bk2 5256j2 14016b2 |
Quadratic twists by: -4 8 -3 |