Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cy |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
248292522481449600 = 27 · 320 · 52 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-438233,-108948423] |
[a1,a2,a3,a4,a6] |
Generators |
[-397:1728:1] |
Generators of the group modulo torsion |
j |
12767635874606888521/340593309302400 |
j-invariant |
L |
7.7894428755698 |
L(r)(E,1)/r! |
Ω |
0.18585768783656 |
Real period |
R |
1.496813987862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270t2 |
Quadratic twists by: -3 |