Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400bf |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-371200000000 = -1 · 215 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,30463] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:152:1] [-17:200:1] |
Generators of the group modulo torsion |
j |
-5000/29 |
j-invariant |
L |
6.3643193461462 |
L(r)(E,1)/r! |
Ω |
0.82401353730115 |
Real period |
R |
0.64363013652565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400be1 23200d1 46400e1 |
Quadratic twists by: -4 8 5 |