Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
720h |
Isogeny class |
Conductor |
720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-44789760 = -1 · 212 · 37 · 5 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,322] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
2.1029661685701 |
L(r)(E,1)/r! |
Ω |
1.6172770870371 |
Real period |
R |
0.32507821099828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45a1 2880bd1 240d1 3600bf1 |
Quadratic twists by: -4 8 -3 5 |