Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ei |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-53427404800 = -1 · 215 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,820,-6480] |
[a1,a2,a3,a4,a6] |
Generators |
[14:88:1] |
Generators of the group modulo torsion |
j |
74434680/65219 |
j-invariant |
L |
6.3094495240358 |
L(r)(E,1)/r! |
Ω |
0.61681049158855 |
Real period |
R |
0.42621474658634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200fb1 61600a1 123200hn1 |
Quadratic twists by: -4 8 5 |