Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496i |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
790939860992 = 215 · 176 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12716,-550256] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2312:1] [1020:32368:1] |
Generators of the group modulo torsion |
j |
287496 |
j-invariant |
L |
6.3851519548616 |
L(r)(E,1)/r! |
Ω |
0.44967916072333 |
Real period |
R |
7.0996751824034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18496i4 9248e2 64a2 |
Quadratic twists by: -4 8 17 |