Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440d |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2082723840 = 211 · 38 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6640,-206048] |
[a1,a2,a3,a4,a6] |
Generators |
[277:4374:1] |
Generators of the group modulo torsion |
j |
15811147933922/1016955 |
j-invariant |
L |
3.7895374754006 |
L(r)(E,1)/r! |
Ω |
0.52887587950372 |
Real period |
R |
3.5826340567436 |
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 |
3720g4 29760cj4 22320g4 37200u4 |
Quadratic twists by: -4 8 -3 5 |