Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7320l |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
19764000000 = 28 · 34 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-700,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:90:1] |
Generators of the group modulo torsion |
j |
148387780816/77203125 |
j-invariant |
L |
3.9948240977829 |
L(r)(E,1)/r! |
Ω |
1.0713113724292 |
Real period |
R |
0.3107425317382 |
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 |
14640n2 58560bg2 21960b2 36600h2 |
Quadratic twists by: -4 8 -3 5 |