Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cn |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
154151424000 = 212 · 36 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2923,-58063] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:65:1] |
Generators of the group modulo torsion |
j |
22095784790981/1233211392 |
j-invariant |
L |
13.132760142571 |
L(r)(E,1)/r! |
Ω |
0.65155368126555 |
Real period |
R |
0.55989077084288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950j1 |
Quadratic twists by: 5 |