Atkin-Lehner |
2+ 3+ 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950b |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
583200 |
Modular degree for the optimal curve |
Δ |
4605120000000000 = 215 · 33 · 510 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53450,3436500] |
[a1,a2,a3,a4,a6] |
Generators |
[61:608:1] |
Generators of the group modulo torsion |
j |
1729336440625/471564288 |
j-invariant |
L |
2.1540318797572 |
L(r)(E,1)/r! |
Ω |
0.40570034524586 |
Real period |
R |
5.3094159381015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79950cj1 |
Quadratic twists by: 5 |