Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880r |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-41131782450708480 = -1 · 218 · 322 · 5 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63372,11528944] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:4172:1] |
Generators of the group modulo torsion |
j |
-147281603041/215233605 |
j-invariant |
L |
3.452639368572 |
L(r)(E,1)/r! |
Ω |
0.32583157917577 |
Real period |
R |
5.2981963524007 |
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 |
2880bd8 45a8 960g8 14400y8 |
Quadratic twists by: -4 8 -3 5 |