Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400bm |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-58063040000000 = -1 · 212 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 1 -7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5200,-394000] |
[a1,a2,a3,a4,a6] |
Generators |
[3315:24425:27] |
Generators of the group modulo torsion |
j |
-242970624/907235 |
j-invariant |
L |
11.031740431694 |
L(r)(E,1)/r! |
Ω |
0.25732980751828 |
Real period |
R |
5.3587556268422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4025d1 12880r1 |
Quadratic twists by: -4 5 |