Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50430m |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
122072875200 = 26 · 33 · 52 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56349,5143672] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:2574:1] |
Generators of the group modulo torsion |
j |
7002221518249/43200 |
j-invariant |
L |
3.2633270709796 |
L(r)(E,1)/r! |
Ω |
0.93227672890205 |
Real period |
R |
0.87509614093155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50430g1 |
Quadratic twists by: 41 |