Atkin-Lehner |
2+ 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050be |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
22625149078125000 = 23 · 35 · 59 · 115 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159451,-23427202] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:1061:1] |
Generators of the group modulo torsion |
j |
229546935711989/11584076328 |
j-invariant |
L |
5.2151755918864 |
L(r)(E,1)/r! |
Ω |
0.23966367514997 |
Real period |
R |
2.1760392303808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050bt1 |
Quadratic twists by: 5 |