Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950w |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-56839372800 = -1 · 218 · 3 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,844,6578] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1813:27] |
Generators of the group modulo torsion |
j |
2664100005215/2273574912 |
j-invariant |
L |
4.6339352373112 |
L(r)(E,1)/r! |
Ω |
0.72363168896313 |
Real period |
R |
1.6009301789487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950bz1 |
Quadratic twists by: 5 |