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 |
3.4977873789752E+25 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-494046959,4217225146238] |
[a1,a2,a3,a4,a6] |
Generators |
[1416:1875589:1] [11304:271570:1] |
Generators of the group modulo torsion |
j |
18293671420037069494137961897/47980622482512406498449 |
j-invariant |
L |
7.52075921562 |
L(r)(E,1)/r! |
Ω |
0.065497696192552 |
Real period |
R |
6.3791550040902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23199c2 |
Quadratic twists by: -3 |