Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550cs |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
17751265280000 = 215 · 54 · 74 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11663,439417] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:285:1] [-108:719:1] |
Generators of the group modulo torsion |
j |
116918891425/11829248 |
j-invariant |
L |
9.4638803061237 |
L(r)(E,1)/r! |
Ω |
0.67102784722756 |
Real period |
R |
0.47011860711018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46550e1 46550db1 |
Quadratic twists by: 5 -7 |