Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970cf |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-9124185024360 = -1 · 23 · 36 · 5 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1397,147061] |
[a1,a2,a3,a4,a6] |
Generators |
[29:346:1] |
Generators of the group modulo torsion |
j |
-413327139849/12516028840 |
j-invariant |
L |
7.5412925956282 |
L(r)(E,1)/r! |
Ω |
0.60999850166696 |
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 |
95760ew3 1330c4 59850bg3 83790er3 |
Quadratic twists by: -4 -3 5 -7 |