Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872be |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-433613438976 = -1 · 221 · 3 · 413 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -6 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,863,30431] |
[a1,a2,a3,a4,a6] |
Generators |
[7:192:1] |
Generators of the group modulo torsion |
j |
270840023/1654104 |
j-invariant |
L |
3.6754336920654 |
L(r)(E,1)/r! |
Ω |
0.68167940463739 |
Real period |
R |
1.3479333786021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7872e2 1968g2 23616ch2 |
Quadratic twists by: -4 8 -3 |