Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bq |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
8712000 = 26 · 32 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78,252] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] [-4:22:1] |
Generators of the group modulo torsion |
j |
6644672/1089 |
j-invariant |
L |
6.7199772668568 |
L(r)(E,1)/r! |
Ω |
2.2155355569999 |
Real period |
R |
0.75827910385205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26400y1 52800do2 79200cc1 26400bb1 |
Quadratic twists by: -4 8 -3 5 |