Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040g |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30240000 = 28 · 33 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,166] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] |
Generators of the group modulo torsion |
j |
10536048/4375 |
j-invariant |
L |
4.0660140408761 |
L(r)(E,1)/r! |
Ω |
1.8919331559392 |
Real period |
R |
0.53728299386688 |
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 |
2520n2 20160cw2 5040b2 25200d2 |
Quadratic twists by: -4 8 -3 5 |