Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4810g |
Isogeny class |
Conductor |
4810 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
Δ |
500240000000000 = 213 · 510 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -6 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1617401,-792398777] |
[a1,a2,a3,a4,a6] |
Generators |
[90671:27254664:1] |
Generators of the group modulo torsion |
j |
467925648350654433343249/500240000000000 |
j-invariant |
L |
6.7484017545619 |
L(r)(E,1)/r! |
Ω |
0.13387366539338 |
Real period |
R |
3.8775947887033 |
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 |
38480p2 43290x2 24050d2 62530e2 |
Quadratic twists by: -4 -3 5 13 |