Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1953d |
Isogeny class |
Conductor |
1953 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6809689935153 = 322 · 7 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11646,-464265] |
[a1,a2,a3,a4,a6] |
Generators |
[9230:307375:8] |
Generators of the group modulo torsion |
j |
239633492476897/9341138457 |
j-invariant |
L |
3.9107448195325 |
L(r)(E,1)/r! |
Ω |
0.46067580018374 |
Real period |
R |
8.4891475045416 |
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 |
31248bp3 124992cs3 651d4 48825s3 |
Quadratic twists by: -4 8 -3 5 |