Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328bi |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-100564482816 = -1 · 28 · 32 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2417,49029] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:294:1] [19:-98:1] |
Generators of the group modulo torsion |
j |
-51868672/3339 |
j-invariant |
L |
7.8750105803511 |
L(r)(E,1)/r! |
Ω |
1.0468944940454 |
Real period |
R |
0.47014113081244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656bp1 8904k1 |
Quadratic twists by: -4 -7 |