Atkin-Lehner |
3- 11- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69597f |
Isogeny class |
Conductor |
69597 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
3.7652570794975E+23 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7899768824,270254452847006] |
[a1,a2,a3,a4,a6] |
Generators |
[-23550:21064867:1] [40338:4130554:1] |
Generators of the group modulo torsion |
j |
74789276349718410155172199398457/516496170027092593437 |
j-invariant |
L |
7.52075921562 |
L(r)(E,1)/r! |
Ω |
0.065497696192552 |
Real period |
R |
1.5947887510225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23199c4 |
Quadratic twists by: -3 |