Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400f |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
282328031250000 = 24 · 312 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23783,-1149438] |
[a1,a2,a3,a4,a6] |
j |
5951163357184/1129312125 |
j-invariant |
L |
0.7790002436117 |
L(r)(E,1)/r! |
Ω |
0.38950012180585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10200r1 81600im1 61200bd1 4080l1 |
Quadratic twists by: -4 8 -3 5 |