Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672u |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2804119678976 = 212 · 76 · 11 · 232 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30577,-2066625] |
[a1,a2,a3,a4,a6] |
Generators |
[6075:473340:1] |
Generators of the group modulo torsion |
j |
771902748175168/684599531 |
j-invariant |
L |
4.3743215399849 |
L(r)(E,1)/r! |
Ω |
0.36105451169788 |
Real period |
R |
3.0288511832968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672m2 113344d1 |
Quadratic twists by: -4 8 |