Atkin-Lehner |
2+ 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050bh |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
734400 |
Modular degree for the optimal curve |
Δ |
22122367987500000 = 25 · 33 · 58 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76951,4030298] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:3514:1] |
Generators of the group modulo torsion |
j |
129002571780745/56633262048 |
j-invariant |
L |
5.54457278329 |
L(r)(E,1)/r! |
Ω |
0.34339494688602 |
Real period |
R |
2.6910572571321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61050bq1 |
Quadratic twists by: 5 |