Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970cf |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
484785000 = 23 · 36 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51077,4455829] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-22:1] |
Generators of the group modulo torsion |
j |
20214562937713929/665000 |
j-invariant |
L |
7.5412925956282 |
L(r)(E,1)/r! |
Ω |
1.2199970033339 |
Real period |
R |
1.0302337594573 |
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 |
95760ew4 1330c3 59850bg4 83790er4 |
Quadratic twists by: -4 -3 5 -7 |