Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960c |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2559600000000 = 210 · 34 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3560,-26400] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:90:1] |
Generators of the group modulo torsion |
j |
4874114604964/2499609375 |
j-invariant |
L |
4.5860074721366 |
L(r)(E,1)/r! |
Ω |
0.65306407213194 |
Real period |
R |
0.877786665167 |
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 |
9480b3 75840ce4 56880k4 94800s4 |
Quadratic twists by: -4 8 -3 5 |