Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440k |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
76600525824000 = 213 · 34 · 53 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24216,1396080] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:558:1] |
Generators of the group modulo torsion |
j |
383432500775449/18701300250 |
j-invariant |
L |
2.9318128185642 |
L(r)(E,1)/r! |
Ω |
0.6042804773783 |
Real period |
R |
1.2129354365725 |
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 |
930g3 29760cx4 22320cg4 37200dh4 |
Quadratic twists by: -4 8 -3 5 |