Atkin-Lehner |
2+ 3- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826i |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
86179303075629456 = 24 · 38 · 74 · 112 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-510426,-139521308] |
[a1,a2,a3,a4,a6] |
Generators |
[5189:367418:1] |
Generators of the group modulo torsion |
j |
20174139860220160417/118215779253264 |
j-invariant |
L |
4.5263377086378 |
L(r)(E,1)/r! |
Ω |
0.17867738144267 |
Real period |
R |
6.3331151263443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18942l2 |
Quadratic twists by: -3 |