Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122ba |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-943473727149408 = -1 · 25 · 38 · 72 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20533,-954565] |
[a1,a2,a3,a4,a6] |
Generators |
[423:-9338:1] |
Generators of the group modulo torsion |
j |
1313328092999831/1294202643552 |
j-invariant |
L |
5.2054887906418 |
L(r)(E,1)/r! |
Ω |
0.27026324147108 |
Real period |
R |
0.32101349054521 |
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 |
10374e2 |
Quadratic twists by: -3 |