Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440d |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
85111695360 = 211 · 32 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2240,39072] |
[a1,a2,a3,a4,a6] |
Generators |
[37:74:1] |
Generators of the group modulo torsion |
j |
607199886722/41558445 |
j-invariant |
L |
3.7895374754006 |
L(r)(E,1)/r! |
Ω |
1.0577517590074 |
Real period |
R |
3.5826340567436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3720g3 29760cj3 22320g3 37200u3 |
Quadratic twists by: -4 8 -3 5 |